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Potential analysis, ISSN 0926-2601, 11/2018, Volume 49, Issue 4, pp. 555 - 581

We introduce and study Brownian bridges to submanifolds. Our method involves proving a general formula for the integral over a submanifold of the minimal heat kernel on a complete Riemannian manifold...

Geometry | 53B21 | Submanifold | 58J65 | Potential Theory | Functional Analysis | Heat kernel | Probability Theory and Stochastic Processes | Mathematics | Local time | Brownian bridge | 60J55 | Physical Sciences | Science & Technology | Employee motivation | Analysis | Bridges | Lower bounds | Riemann manifold | Hyperspaces | Integrals | Derivatives | Brownian movements | Manifolds (mathematics)

Geometry | 53B21 | Submanifold | 58J65 | Potential Theory | Functional Analysis | Heat kernel | Probability Theory and Stochastic Processes | Mathematics | Local time | Brownian bridge | 60J55 | Physical Sciences | Science & Technology | Employee motivation | Analysis | Bridges | Lower bounds | Riemann manifold | Hyperspaces | Integrals | Derivatives | Brownian movements | Manifolds (mathematics)

Journal Article

2003, Research notes in mathematics, ISBN 1584883715, Volume 434., 336

With special emphasis on new techniques based on the holonomy of the normal connection, this book provides a modern, self-contained introduction to submanifold geometry...

Holonomy groups | Submanifolds | Riemannian manifolds | isoparametric submanifolds | STMnetBASE | Moore’s lemma for local splitting | SCI-TECHnetBASE | MATHnetBASE | holonomy of complex submanifolds | Berger–Simons holonomy theorem | geodesic submanifolds | skew-torsion holonomy system | Geometry | normal holonomy theorem | polar actions on symmetric spaces | submanifold geometry of space forms | geometry of submanifolds | orbits for isometric actions | Number Theory | homogeneous submanifolds

Holonomy groups | Submanifolds | Riemannian manifolds | isoparametric submanifolds | STMnetBASE | Moore’s lemma for local splitting | SCI-TECHnetBASE | MATHnetBASE | holonomy of complex submanifolds | Berger–Simons holonomy theorem | geodesic submanifolds | skew-torsion holonomy system | Geometry | normal holonomy theorem | polar actions on symmetric spaces | submanifold geometry of space forms | geometry of submanifolds | orbits for isometric actions | Number Theory | homogeneous submanifolds

Book

International journal of mathematics, ISSN 0129-167X, 04/2013, Volume 24, Issue 4, pp. 1350028 - 1350026

Chen famously conjectured that every submanifold of Euclidean space with harmonic mean curvature vector is minimal...

higher order partial differential equations | global differential geometry | geometric analysis | higher order | Local differential geometry | Physical Sciences | Mathematics | Science & Technology | Riemann manifold | Euclidean geometry | Infinity | Euclidean space | Brownian movements | Manifolds (mathematics) | Curvature | Manifolds | Harmonics | Mathematical analysis | Cases (containers) | Vectors (mathematics) | Mathematics - Differential Geometry

higher order partial differential equations | global differential geometry | geometric analysis | higher order | Local differential geometry | Physical Sciences | Mathematics | Science & Technology | Riemann manifold | Euclidean geometry | Infinity | Euclidean space | Brownian movements | Manifolds (mathematics) | Curvature | Manifolds | Harmonics | Mathematical analysis | Cases (containers) | Vectors (mathematics) | Mathematics - Differential Geometry

Journal Article

2017, Graduate studies in mathematics, ISBN 9781470429522, Volume 178, xvi, 414 pages

Lorentz metrics, indefinite metrics | Classical differential geometry | Vector analysis | Differential geometry | Global analysis, analysis on manifolds | Local differential geometry | Surfaces in Euclidean space | Differential forms | Noncompact transformation groups | Exterior differential systems (Cartan theory) | Projective differential geometry | Frames (Vector analysis) | Homogeneous spaces | Geometry, Differential | Topological groups, Lie groups | Affine differential geometry | Local submanifolds | General theory of differentiable manifolds | Mathematical physics | Exterior differential systems | Differential invariants (local theory), geometric objects | Curves in Euclidean space

Book

2010, Frontiers in mathematics, ISBN 9783034602501, 484

.... The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.

Manifolds (Mathematics) | Riemannian manifolds | Mathematical physics | Submanifolds

Manifolds (Mathematics) | Riemannian manifolds | Mathematical physics | Submanifolds

eBook

Finite fields and their applications, ISSN 1071-5797, 2011, Volume 17, Issue 4, pp. 303 - 316

In this article, we consider the estimation of exponential sums along the points of the reduction mod
p
m
of a
p-adic analytic submanifold of
Z
p
n...

Congruences in many variables | Exponential sums mod [formula omitted] | p-Adic manifolds | Poincaré series | Igusa local zeta function | Exponential sums mod | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Congruences in many variables | Exponential sums mod [formula omitted] | p-Adic manifolds | Poincaré series | Igusa local zeta function | Exponential sums mod | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Inventiones mathematicae, ISSN 1432-1297, 03/2016, Volume 206, Issue 2, pp. 293 - 377

We study a germ of real analytic n-dimensional submanifold of
$${\mathbf {C}}^n$$
C
n
that has a complex tangent space of maximal dimension at a CR singularity...

37G05 | Mathematics, general | Mathematics | 32V40 | 37F50 | 32S05 | Physical Sciences | Science & Technology | Tangents | Equivalence | Singularities | Mathematical analysis | Texts | Manifolds (mathematics) | Formulas (mathematics) | Complex Variables | Dynamical Systems

37G05 | Mathematics, general | Mathematics | 32V40 | 37F50 | 32S05 | Physical Sciences | Science & Technology | Tangents | Equivalence | Singularities | Mathematical analysis | Texts | Manifolds (mathematics) | Formulas (mathematics) | Complex Variables | Dynamical Systems

Journal Article

The Journal of geometric analysis, ISSN 1050-6926, 6/2007, Volume 17, Issue 2, pp. 321 - 341

A local uniqueness property of holomorphic functions on real-analytic nowhere minimal CR submanifolds of higher codimension is investigated...

Abstract Harmonic Analysis | Fourier Analysis | 32V40 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Mathematics | Singular Levi-flat hypersurfaces | local holomorphic invariants | Differential Geometry | Dynamical Systems and Ergodic Theory | 32C07 | CR submanifolds | Physical Sciences | Science & Technology

Abstract Harmonic Analysis | Fourier Analysis | 32V40 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Mathematics | Singular Levi-flat hypersurfaces | local holomorphic invariants | Differential Geometry | Dynamical Systems and Ergodic Theory | 32C07 | CR submanifolds | Physical Sciences | Science & Technology

Journal Article

Journal of differential geometry, ISSN 0022-040X, 05/2019, Volume 112, Issue 1, pp. 121 - 198

We study germs of real analytic n-dimensional submanifold of C-n that has a complex tangent space of maximal dimension at a CR singularity...

Physical Sciences | Mathematics | Science & Technology | Complex Variables | Dynamical Systems

Physical Sciences | Mathematics | Science & Technology | Complex Variables | Dynamical Systems

Journal Article

Journal of geometry and physics, ISSN 0393-0440, 04/2018, Volume 127, pp. 1 - 13

We study Lagrangian submanifolds of the nearly Kähler S3×S3 with respect to their so called angle functions...

Immersions | Nearly Kähler manifolds | Lagrangian submanifolds | Local submanifolds

Immersions | Nearly Kähler manifolds | Lagrangian submanifolds | Local submanifolds

Journal Article

Advances in mathematics (New York. 1965), ISSN 0001-8708, 2007, Volume 209, Issue 2, pp. 460 - 525

We consider the equation
−
ε
2
Δ
u
+
u
=
u
p
in
Ω
⊆
R
N
, where
Ω is open, smooth and bounded, and we prove concentration of solutions along
k-dimensional minimal submanifolds of ∂
Ω, for
N
⩾
3
and for
k
∈
{
1
,
…
,
N
−
2...

Fourier analysis | Local inversion | Singularly perturbed elliptic problems | Differential geometry | Physical Sciences | Mathematics | Science & Technology

Fourier analysis | Local inversion | Singularly perturbed elliptic problems | Differential geometry | Physical Sciences | Mathematics | Science & Technology

Journal Article

Potential analysis, ISSN 0926-2601, 10/2016, Volume 45, Issue 3, pp. 485 - 508

This is a study of the distance between a Brownian motion and a submanifold of a complete Riemannian manifold...

53B21 | Submanifold | Tube | 58J65 | Probability Theory and Stochastic Processes | Mathematics | Local time | Geometry | Brownian motion | Potential Theory | Functional Analysis | Distance | 60J55 | Physical Sciences | Science & Technology | Riemann manifold | Theorems | Brownian movements | Manifolds (mathematics) | Inequality

53B21 | Submanifold | Tube | 58J65 | Probability Theory and Stochastic Processes | Mathematics | Local time | Geometry | Brownian motion | Potential Theory | Functional Analysis | Distance | 60J55 | Physical Sciences | Science & Technology | Riemann manifold | Theorems | Brownian movements | Manifolds (mathematics) | Inequality

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2015, Volume 143, Issue 4, pp. 1719 - 1737

gap phenomenon for immersed surfaces with arbitrary codimension, topology and boundaries that satisfy one of a family of systems of fourth-order anisotropic...

Higher-order partial differential equations | Global differential geometry | Local differential geometry | Gap phenomena | Geometric analysis | Higher order | Surface diffusion | Willmore surfaces | Uniqueness theorem | Biharmonic submanifolds | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Higher-order partial differential equations | Global differential geometry | Local differential geometry | Gap phenomena | Geometric analysis | Higher order | Surface diffusion | Willmore surfaces | Uniqueness theorem | Biharmonic submanifolds | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Letters in mathematical physics, ISSN 0377-9017, 8/2014, Volume 104, Issue 8, pp. 953 - 989

We propose a class of toric Lagrangian A-branes on the resolved conifold that is suitable to describe torus knots on S
3. The key role is played by the...

53D12 | topological strings | Theoretical, Mathematical and Computational Physics | 14N35 | Lagrangian submanifolds | 57M25 | Statistical Physics, Dynamical Systems and Complexity | 14J33 | topological vertex | 14H45 | Physics | Geometry | 81T45 | 57M27 | local mirror symmetry | Group Theory and Generalizations | knots | Physical Sciences | Physics, Mathematical | Science & Technology

53D12 | topological strings | Theoretical, Mathematical and Computational Physics | 14N35 | Lagrangian submanifolds | 57M25 | Statistical Physics, Dynamical Systems and Complexity | 14J33 | topological vertex | 14H45 | Physics | Geometry | 81T45 | 57M27 | local mirror symmetry | Group Theory and Generalizations | knots | Physical Sciences | Physics, Mathematical | Science & Technology

Journal Article

Science China. Mathematics, ISSN 1674-7283, 03/2017, pp. 1 - 10

Journal Article

Journal of knot theory and its ramifications, ISSN 0218-2165, 06/2009, Volume 18, Issue 6, pp. 729 - 755

.... In particular, the Murasugi–Tristram signatures are extended to invariants of links formed of arbitrary oriented closed codimension two submanifolds of an odd-dimensional sphere...

Codimension 2 submanifolds | Classical link | Link signatures | Slice genus | Local coefficient system | Physical Sciences | Mathematics | Science & Technology

Codimension 2 submanifolds | Classical link | Link signatures | Slice genus | Local coefficient system | Physical Sciences | Mathematics | Science & Technology

Journal Article

18.
Full Text
On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks

Siberian mathematical journal, ISSN 0037-4466, 11/2015, Volume 56, Issue 6, pp. 996 - 1008

We construct some new local diffeomorphism that enables us to study submanifolds of matrices...

Mathematics, general | Mathematics | parametrization | local diffeomorphism | submanifold of matrices | Jordan form | Physical Sciences | Science & Technology

Mathematics, general | Mathematics | parametrization | local diffeomorphism | submanifold of matrices | Jordan form | Physical Sciences | Science & Technology

Journal Article

2015 Visual Communications and Image Processing (VCIP), 12/2015, pp. 1 - 4

In this paper, a palmprint based authentication system is proposed. The proposed system makes use of locality sensitive discriminant analysis and directional...

Biometrics | Local Features | Biometrics (access control) | Databases | Authentication | Palmprints | Feature extraction | ROC curve | Data mining | Principal component analysis | Global Features | Discriminant analysis | State of the art | Surface layer | Mathematics | Ground truth | Texture | Visual

Biometrics | Local Features | Biometrics (access control) | Databases | Authentication | Palmprints | Feature extraction | ROC curve | Data mining | Principal component analysis | Global Features | Discriminant analysis | State of the art | Surface layer | Mathematics | Ground truth | Texture | Visual

Conference Proceeding

1991, Pure and applied mathematics, ISBN 9780471928393, x, 236 p. --

Book

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