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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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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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Aspects Of Sobolev-Type Inequalities

heat diffusion equations on Riemannian manifolds. Applications covered include the ultracontractivity of the heat diffusion semigroup, Gaussian;

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Algorithmic Advances in Riemannian Geometry and Applications

researchers in the field. These include statistical modeling and analysis on manifolds,optimization on manifolds, Riemannian manifolds and kernel;

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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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Riemannian Manifolds and Homogeneous Geodesics

classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with;

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Riemannian Manifolds and Homogeneous Geodesics

classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with;

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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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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 Submersions, Riemannian Maps in Hermitian Geometry, and their Applications

developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K\{a;

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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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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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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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Global Riemannian Geometry

analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature;

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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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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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Emerging Topics on Differential Equations and Their Applications

Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.;

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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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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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Heat Kernels And Spectral Theory

operators on complete Riemannian manifolds. He also includes results pertaining to the heat kernels of Schroedinger operators; such results will be;

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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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Stochastic Analysis on Manifolds

and the Atiyah-Singer index theorem for Dirac operators. The book concludes with an introduction to stochastic analysis on the path space;

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Setting of Linear Analysis on Manifolds

theory and topological classification. For the linear part, the author gathered basic notions from Riemannian geometry, tools from Hilbert space;

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Analysis on Manifolds and Fibre Bundles

The aim of this book is to acquaint students with the basic concepts of the subject to help them in their studies of Riemannian geometry;

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