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2016, Second edition., Graduate studies in mathematics, ISBN 1470409860, Volume 175., xviii, 453 pages
Book
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
08/2017, ISBN 9783319581835, 313
Differential and complex geometry are two central areas of mathematics with a long and intertwined history...
Several Complex Variables and Analytic Spaces  Algebraic Topology  Global Analysis and Analysis on Manifolds  Mathematics  Projective Geometry  Differential Geometry  Mathematics and Statistics  Geometry, Differential  Complex manifolds
Several Complex Variables and Analytic Spaces  Algebraic Topology  Global Analysis and Analysis on Manifolds  Mathematics  Projective Geometry  Differential Geometry  Mathematics and Statistics  Geometry, Differential  Complex manifolds
eBook
2005, 1. Aufl., Encyclopaedia of mathematical sciences, ISBN 3540228985, Volume 4, xiv, 250
Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics...
Geometry, Projective  Duality theory (Mathematics)  Homogeneous spaces  Geometry, algebraic
Geometry, Projective  Duality theory (Mathematics)  Homogeneous spaces  Geometry, algebraic
Book
The Journal of geometric analysis, ISSN 1559002X, 09/2018, Volume 29, Issue 3, pp. 2492  2525
... projectively invariant differential equation often called the metrizability equation. Dropping this rank assumption, we study the solutions to this equation, given less restrictive generic conditions on its prolonged system...
53B10  53A30  58J60  Primary 53A20  53C21  Mathematics  Secondary 35N10  Projective differential geometry  Conformal geometry  Abstract Harmonic Analysis  Fourier Analysis  Convex and Discrete Geometry  Global Analysis and Analysis on Manifolds  Compactification of pseudoRiemannian manifolds  Differential Geometry  Dynamical Systems and Ergodic Theory  Overdetermined PDE  Physical Sciences  Science & Technology  Embedded structures  Stratification  Differential geometry  Strata  Differential equations  Lie groups
53B10  53A30  58J60  Primary 53A20  53C21  Mathematics  Secondary 35N10  Projective differential geometry  Conformal geometry  Abstract Harmonic Analysis  Fourier Analysis  Convex and Discrete Geometry  Global Analysis and Analysis on Manifolds  Compactification of pseudoRiemannian manifolds  Differential Geometry  Dynamical Systems and Ergodic Theory  Overdetermined PDE  Physical Sciences  Science & Technology  Embedded structures  Stratification  Differential geometry  Strata  Differential equations  Lie groups
Journal Article
2005, Cambridge tracts in mathematics, ISBN 0521831865, Volume 165, xi, 249
.... The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics...
Projective differential geometry
Projective differential geometry
Book
1993, ISBN 9780444897718, Volume 49., xi, 362
Book
2019, ISBN 3030136086, 759
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are...
GeometryHistory
GeometryHistory
eBook
2019, Springer Verlag, 640 p, ISBN 3030136086
This volume consists of a collection of essays on geometry from a historical viewpoint, addressed to the general mathematical community interested in the history of ideas and their evolution...
Mathematics  History of Mathematical Sciences  Projective Geometry  Topology  Mathematics and Statistics  Functions of a Complex Variable  Geometric Topology  History and Overview  Symplectic Geometry  Differential Geometry  Metric Geometry
Mathematics  History of Mathematical Sciences  Projective Geometry  Topology  Mathematics and Statistics  Functions of a Complex Variable  Geometric Topology  History and Overview  Symplectic Geometry  Differential Geometry  Metric Geometry
eBook
1927, xii, 268
Book
2009, Progress in mathematics, ISBN 9783034601283, Volume 277, xi, 160
This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.
Diophantine equations  Arithmetical algebraic geometry  Algebraic varieties  Number theory  Geometry, Algebraic  Diophantine analysis  Geometry, Projective
Diophantine equations  Arithmetical algebraic geometry  Algebraic varieties  Number theory  Geometry, Algebraic  Diophantine analysis  Geometry, Projective
Book
2009, Mathematical surveys and monographs, ISBN 0821826816, Volume 154, v.
Book
2015, IRMA lectures in mathematics and theoretical physics, ISBN 9783037191484, Volume 23, xviii, 330 pages
Book
Geometriae dedicata, ISSN 15729168, 03/2018, Volume 198, Issue 1, pp. 181  188
We prove an analog of Schoen–Yau univalentness theorem for saddle maps between discs.
53C45  53C23  53C43  Mathematics  Topology  Saddle map  Convex and Discrete Geometry  saddle surface  Algebraic Geometry  Hyperbolic Geometry  Projective Geometry  Univalentness theorem  Differential Geometry  Physical Sciences  Science & Technology
53C45  53C23  53C43  Mathematics  Topology  Saddle map  Convex and Discrete Geometry  saddle surface  Algebraic Geometry  Hyperbolic Geometry  Projective Geometry  Univalentness theorem  Differential Geometry  Physical Sciences  Science & Technology
Journal Article
Geometriae dedicata, ISSN 15729168, 02/2013, Volume 168, Issue 1, pp. 235  244
... from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation...
Geometry  Primary 53B10  53A20  53A30  Einstein metrics  Secondary 35Q76  Conformal differential geometry  Mathematics  Projective differential geometry  53C29  Physical Sciences  Science & Technology
Geometry  Primary 53B10  53A20  53A30  Einstein metrics  Secondary 35Q76  Conformal differential geometry  Mathematics  Projective differential geometry  53C29  Physical Sciences  Science & Technology
Journal Article
Geometriae dedicata, ISSN 00465755, 6/2019, Volume 200, Issue 1, pp. 153  171
For sequences of warped product metrics on a 3torus satisfying the scalar curvature bound
$$R_j \ge \frac{1}{j}$$
R
j
≥

1
j
, uniform upper volume and...
Uniform convergence  Almost rigidity  Stability  Flat torus  Mathematics  Topology  Gromov–Hausdorff convergence  Warped products  Convex and Discrete Geometry  Convergence of Riemannian manifolds  Algebraic Geometry  Scalar torus rigidity theorem  Hyperbolic Geometry  Projective Geometry  Differential Geometry  Sormani–Wenger intrinsic flat convergence  Physical Sciences  Science & Technology  Minimal surfaces  Toruses  Curvature
Uniform convergence  Almost rigidity  Stability  Flat torus  Mathematics  Topology  Gromov–Hausdorff convergence  Warped products  Convex and Discrete Geometry  Convergence of Riemannian manifolds  Algebraic Geometry  Scalar torus rigidity theorem  Hyperbolic Geometry  Projective Geometry  Differential Geometry  Sormani–Wenger intrinsic flat convergence  Physical Sciences  Science & Technology  Minimal surfaces  Toruses  Curvature
Journal Article
Geometriae dedicata, ISSN 15729168, 02/2018, Volume 198, Issue 1, pp. 19  34
We study the problem of determining the least symmetric triangle, which arises both from pure geometry and from the study of molecular chirality in chemistry...
Grassmannians  52A10  53A04  Triangles  Mathematics  Topology  52B15  Asymmetry  Convex and Discrete Geometry  Optimality  Chirality  Algebraic Geometry  Hyperbolic Geometry  Projective Geometry  Differential Geometry  Physical Sciences  Science & Technology  Organic chemistry
Grassmannians  52A10  53A04  Triangles  Mathematics  Topology  52B15  Asymmetry  Convex and Discrete Geometry  Optimality  Chirality  Algebraic Geometry  Hyperbolic Geometry  Projective Geometry  Differential Geometry  Physical Sciences  Science & Technology  Organic chemistry
Journal Article
Geometriae dedicata, ISSN 15729168, 12/2017, Volume 196, Issue 1, pp. 53  61
Suppose that $$\theta _1,\theta _2,\ldots ,\theta _n$$
θ1,θ2,…,θn
are positive numbers and $$n\ge 3$$
n≥3
. We want to know whether there exists a spherical...
53C20  57M50  Convex and Discrete Geometry  Surfaces  Algebraic Geometry  Mathematics  Hyperbolic Geometry  Projective Geometry  Topology  Differential Geometry  Conical singularities  Spherical metrics  Physical Sciences  Science & Technology  Singularities  Mathematics  Differential Geometry
53C20  57M50  Convex and Discrete Geometry  Surfaces  Algebraic Geometry  Mathematics  Hyperbolic Geometry  Projective Geometry  Topology  Differential Geometry  Conical singularities  Spherical metrics  Physical Sciences  Science & Technology  Singularities  Mathematics  Differential Geometry
Journal Article
Geometriae dedicata, ISSN 15729168, 06/2018, Volume 200, Issue 1, pp. 115  152
...Geom Dedicata (2019) 200:115–152
https://doi.org/10.1007/s107110180364z
ORIGINAL PAPER
The asymptotic geometry of the T eichmüller metric
Cormac Walsh 1...
Primary 30F60  Mathematics  Teichmüller metric  Topology  Horofunction boundary  Secondary 32G15  Extremal length  Convex and Discrete Geometry  Gardiner–Masur compactification  Algebraic Geometry  Teichmüller space  Hyperbolic Geometry  Projective Geometry  Differential Geometry  Physical Sciences  Science & Technology  Asymptotic properties
Primary 30F60  Mathematics  Teichmüller metric  Topology  Horofunction boundary  Secondary 32G15  Extremal length  Convex and Discrete Geometry  Gardiner–Masur compactification  Algebraic Geometry  Teichmüller space  Hyperbolic Geometry  Projective Geometry  Differential Geometry  Physical Sciences  Science & Technology  Asymptotic properties
Journal Article
1906, B.G. Teubners Sammlung von Lehrbüchern auf dem Gebiete der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Bd. 18
eBook
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