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Covariant Schroedinger Semigroups on Riemannian Manifolds

This monograph discusses covariant Schroedinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a;

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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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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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A Course in Differential Geometry

of torsion and curvature, and gives a working knowledge of the covariant derivative. Chapter V specializes on Riemannian manifolds by deducing global;

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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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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

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

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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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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

of the applications of Riemannian geometry. Instead, it focuses on several important research directions that are currently actively pursued by;

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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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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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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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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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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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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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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

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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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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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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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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