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## Search Articles

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

1994, Cambridge tracts in mathematics, ISBN 0521441773, Volume 111, xiv, 263

Book

2017, Cambridge studies in advanced mathematics, ISBN 1107167485, Volume 170, xiv, 644 pages

... in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the Barsotti-Chevalley theorem, realizing every algebraic group as an extension of an abelian...

Group theory | Geometry, Algebraic | Differential algebraic groups | Affine algebraic groups | Linear algebraic groups

Group theory | Geometry, Algebraic | Differential algebraic groups | Affine algebraic groups | Linear algebraic groups

Book

1983, ISBN 9780677310602, 246, [1]

Book

IEEE transactions on biomedical engineering, ISSN 1558-2531, 05/2018, Volume 65, Issue 5, pp. 1107 - 1116

...: Data are represented using spatial covariance matrices of the EEG signals, exploiting the recent successful techniques based on the Riemannian geometry of the manifold of symmetric positive definite (SPD) matrices...

Manifolds | Geometry | electroencephalography (EEG) | Symmetric matrices | riemannian geometry | mixtures of Gaussian | Probabilistic logic | Electroencephalography | Electronic mail | Covariance matrices | Brain–computer interface (BCI) | covariance matrices | Brain-computer interface (BCI) | Engineering | Technology | Engineering, Biomedical | Science & Technology | Brain-Computer Interfaces | Models, Theoretical | Electroencephalography - methods | Machine Learning | Humans | Databases, Factual | Brain | Classifiers | Transformation | Human-computer interface | Transfer learning | EEG | Spatial discrimination | Environmental changes | Calibration | Covariance matrix | Matrix methods | Interfaces | Learning | Transformations (mathematics) | Spatial data | Covariance | Mathematical analysis | Classification | Implants | Computer applications | Affine transformations | Indexing | Index Medicus | Mathematics | Engineering Sciences | Differential Geometry | Signal and Image processing

Manifolds | Geometry | electroencephalography (EEG) | Symmetric matrices | riemannian geometry | mixtures of Gaussian | Probabilistic logic | Electroencephalography | Electronic mail | Covariance matrices | Brain–computer interface (BCI) | covariance matrices | Brain-computer interface (BCI) | Engineering | Technology | Engineering, Biomedical | Science & Technology | Brain-Computer Interfaces | Models, Theoretical | Electroencephalography - methods | Machine Learning | Humans | Databases, Factual | Brain | Classifiers | Transformation | Human-computer interface | Transfer learning | EEG | Spatial discrimination | Environmental changes | Calibration | Covariance matrix | Matrix methods | Interfaces | Learning | Transformations (mathematics) | Spatial data | Covariance | Mathematical analysis | Classification | Implants | Computer applications | Affine transformations | Indexing | Index Medicus | Mathematics | Engineering Sciences | Differential Geometry | Signal and Image processing

Journal Article

1992, ISBN 9789971501860, viii, 415

Book

1993, De Gruyter expositions in mathematics., ISBN 3110127695, Volume 11, xiii, 328

Book

Physics letters. B, ISSN 0370-2693, 06/2019, Volume 793, pp. 265 - 270

We show that the horizon geometry for supersymmetric black hole solutions of minimal five-dimensional gauged supergravity is that of a particular Einstein-Cartan-Weyl (ECW...

Supersymmetry | Near horizon geometry | Metric affine gravity | Supergravity | Physical Sciences | Physics, Nuclear | Astronomy & Astrophysics | Physics, Particles & Fields | Physics | Science & Technology

Supersymmetry | Near horizon geometry | Metric affine gravity | Supergravity | Physical Sciences | Physics, Nuclear | Astronomy & Astrophysics | Physics, Particles & Fields | Physics | Science & Technology

Journal Article

Reports on mathematical physics, ISSN 0034-4877, 08/2018, Volume 82, Issue 1, pp. 27 - 28

.... The incorrectness of the claim is easily inferred from the geometry of the indicatrix.

Finsler geometry | indicatrix | affine differential geometry | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Mathematics - Differential Geometry

Finsler geometry | indicatrix | affine differential geometry | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Mathematics - Differential Geometry

Journal Article

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1471-2946, 04/2009, Volume 465, Issue 2107, pp. 2023 - 2040

... not nilpotent. We present new
four-dimensional results in Osserman geometry.

Geometry | Riemann manifold | Tensors | Mathematical theorems | Eigenvalues | Coordinate systems | Signatures | Curvature | Symmetry | Einstein | Para-kaehler | Modified Riemannian extension | Jacobi operator | Affine connection | Osserman manifold | Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Mathematics - Differential Geometry

Geometry | Riemann manifold | Tensors | Mathematical theorems | Eigenvalues | Coordinate systems | Signatures | Curvature | Symmetry | Einstein | Para-kaehler | Modified Riemannian extension | Jacobi operator | Affine connection | Osserman manifold | Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Mathematics - Differential Geometry

Journal Article

Geometriae dedicata, ISSN 1572-9168, 08/2018, Volume 201, Issue 1, pp. 21 - 31

The aim of this paper is to investigate the differential geometry of immersed surfaces in three-dimensional normed spaces from the viewpoint of affine differential geometry...

53A10 | 52A21 | (weighted) Dupin metric | Affine normal field | Minkowski mean curvature | 53A15 | Distance function | 53A35 | 46B20 | Birkhoff–Gauss map | Mathematics | Dupin indicatrix | Normed spaces | Differential Geometry | Riemannian metric | 52A15 | Topology | Minimal surface | Minkowski Gaussian curvature | Birkhoff orthogonality | Blaschke immersion | Convex and Discrete Geometry | 58B20 | Algebraic Geometry | Hyperbolic Geometry | Projective Geometry | (weighted) Dupin metric | Physical Sciences | Science & Technology | Differential equations | Geometry | Euclidean geometry | Minimal surfaces | Submerging | Mathematical analysis | Differential geometry | Fields (mathematics) | Curvature

53A10 | 52A21 | (weighted) Dupin metric | Affine normal field | Minkowski mean curvature | 53A15 | Distance function | 53A35 | 46B20 | Birkhoff–Gauss map | Mathematics | Dupin indicatrix | Normed spaces | Differential Geometry | Riemannian metric | 52A15 | Topology | Minimal surface | Minkowski Gaussian curvature | Birkhoff orthogonality | Blaschke immersion | Convex and Discrete Geometry | 58B20 | Algebraic Geometry | Hyperbolic Geometry | Projective Geometry | (weighted) Dupin metric | Physical Sciences | Science & Technology | Differential equations | Geometry | Euclidean geometry | Minimal surfaces | Submerging | Mathematical analysis | Differential geometry | Fields (mathematics) | Curvature

Journal Article

1981, 2nd ed., ISBN 9780521298391, 486

The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with...

Approximation theory | Topology | Algebras, Linear | Geometry, Algebraic

Approximation theory | Topology | Algebras, Linear | Geometry, Algebraic

Book

Beiträge zur Algebra und Geometrie, ISSN 0138-4821, 10/2014, Volume 55, Issue 2, pp. 497 - 520

... of the family of immersions
is given by elliptic integrals.
Keywords Af ne differential geometry · Af ne spheres · Analytic expressions ·
Monge–Ampère equation
Mathematics...

Geometry | Analytic expressions | 35J96 | Algebra | 53A15 | Monge–Ampère equation | Convex and Discrete Geometry | Affine spheres | Algebraic Geometry | Mathematics | Affine differential geometry | Differential Geometry

Geometry | Analytic expressions | 35J96 | Algebra | 53A15 | Monge–Ampère equation | Convex and Discrete Geometry | Affine spheres | Algebraic Geometry | Mathematics | Affine differential geometry | Differential Geometry

Journal Article

The Asian journal of mathematics, ISSN 1093-6106, 2012, Volume 16, Issue 4, pp. 607 - 636

.... The isometry groups of affine twin cities are (completions of) affine Kac-Moody groups. We study applications of cities in infinite dimensional differential geometry by proving...

Twin building | Loop group&affine kac-moody group | Polar action | Kac-moody geometry | Twin city | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | twin city | polar action | Loop group | 20E42 | affine Kac-Moody group | Kac-Moody geometry | 17B65 | twin building | 58B99 | 22E65 | 20G44 | 22E67

Twin building | Loop group&affine kac-moody group | Polar action | Kac-moody geometry | Twin city | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | twin city | polar action | Loop group | 20E42 | affine Kac-Moody group | Kac-Moody geometry | 17B65 | twin building | 58B99 | 22E65 | 20G44 | 22E67

Journal Article

1998, ISBN 9783335005148, x, 310

Book

1987, Universitext., ISBN 9780387965192, viii, 189

Book

Memoirs of the American Mathematical Society, ISSN 1947-6221, 11/2018, Volume 256, Issue 1225

The curvature discussed in this paper is a far reaching generalisation of the Riemannian sectional curvature. We give a unified definition of curvature which...

Affine control systems | Sub-Riemannian geometry | Curvature | Jacobi curves | Physical Sciences | Mathematics | Science & Technology

Affine control systems | Sub-Riemannian geometry | Curvature | Jacobi curves | Physical Sciences | Mathematics | Science & Technology

Journal Article

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