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Algorithmic Advances in Riemannian Geometry and Applications

This book presents a selection of the most recent algorithmic advances in Riemannian geometry in the context of machine learning;

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Semi-Riemannian Geometry With Applications to Relativity

with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and;

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A Comprehensive Introduction to Sub-Riemannian Geometry

Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive;

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Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications

Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent;

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Recent Advances in Differential Geometry

The book narrates the saga of origin of geometry especially non-Euclidean and covers up to few generalizations of non-Euclidean geometry;

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Encyclopedia of Mathematics and its Applications

-Riemannian Geometry: General Theory and Examples is the perfect resource for graduate students and researchers in pure and applied mathematics;

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Riemannian Optimization and Its Applications

optimization in Euclidean spaces and Riemannian geometry are included. Riemannian optimization is then introduced by merging these concepts;

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Riemannian Geometry of Contact and Symplectic Manifolds

manifolds. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from;

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An Introduction to Riemannian Geometry

and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for;

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Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications

This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced;

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Riemannian Geometry

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first;

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Isoperimetric Inequalities

of equality, and in Riemannian manifolds the emphasis is on those qualitative features of the inequality which provide insight into the coarse;

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Isoperimetric Inequalities

of equality, and in Riemannian manifolds the emphasis is on those qualitative features of the inequality which provide insight into the coarse;

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Comparison Theorems in Riemannian Geometry

The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language;

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Introduction to Differential Geometry and Riemannian Geometry

ISBN Introduction to Differential Geometry and Riemannian Geometry. Taalversie: Engels, Geschreven door: Erwin Kreyszig, Aantal pagina's;

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Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory.;

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Riemannian Geometry

This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an;

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Riemannian Geometry

This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an;

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Jordan Structures in Geometry and Analysis

discusses some recent advances of Jordan theory in differential geometry, complex and functional analysis, with the aid of numerous examples and;

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The Geometry of Walker Manifolds

between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian;

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Geometric Science of Information

transport and applications: signal processing; statistical manifold and hessian information geometry; monotone embedding in information geometry;

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Differential Geometry - Proceedings Of The Viii International Colloquium

This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered;

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Generalized Ricci Flow

Calabi-Yau structures as `canonical metrics' in generalized Riemannian and complex geometry. The book then introduces generalized Ricci flow as a;

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Extrinsic Geometry of Foliations

of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the;

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Extrinsic Geometry of Foliations

of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the;

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Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory

conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters. The second part reviews applications;

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