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Encyclopedia of Mathematics and its Applications

Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing;

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Riemannian Manifolds and Homogeneous Geodesics

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also;

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Riemannian Manifolds and Homogeneous Geodesics

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also;

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Riemannian Geometry of Contact and Symplectic Manifolds

Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. Riemannian;

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Einstein Manifolds

Einstein's equations stem from General Relativity. In the context of Riemannian manifolds, an independent mathematical theory has developed;

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Isoperimetric Inequalities

Riemannian manifolds. In Euclidean space the emphasis is on a most general form of the inequality sufficiently precise to characterize the case;

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Isoperimetric Inequalities

Riemannian manifolds. In Euclidean space the emphasis is on a most general form of the inequality sufficiently precise to characterize the case;

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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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The Geometry of Walker Manifolds

This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use;

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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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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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Riemannian Manifolds

demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental;

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Introduction to Riemannian Manifolds

all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems;

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Introduction to Riemannian Manifolds

all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems;

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Riemannian Manifolds Of Conullity Two

This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are;

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Nonlinear Analysis on Manifolds

This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds;

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Analysis For Diffusion Processes On Riemannian Manifolds

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion;

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Riemannian Optimization and Its Applications

This brief describes the basics of Riemannian optimization-optimization on Riemannian manifolds-introduces algorithms for Riemannian;

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Riemannian Geometry, Fibre Bundles, Kaluza-Klein Theories and All That...

This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian;

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Metric Structures for Riemannian and Non-Riemannian Spaces

systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index;

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Topics in Extrinsic Geometry of Codimension One Foliations

Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental;

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Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher;

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Riemannian Geometry

This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on;

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Riemannian Geometry

This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on;

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Manifolds Tensorsnd Forms

cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and;

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Minimal Submanifolds In Pseudo-riemannian Geometry

differential equations and complex analysis. On the other hand, the relativity theory has led to the study of pseudo-Riemannian manifolds, which turns;

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An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since;

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