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Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16)

choice of A1 ? A1, and of a replacement of Mn by any differential manifold homeomorphic to Mn. Originally published in 1976. The Princeton Legacy;

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Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16)

choice of A1 ? A1, and of a replacement of Mn by any differential manifold homeomorphic to Mn. Originally published in 1976. The Princeton Legacy;

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The Decomposition of Global Conformal Invariants (AM-182)

given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the;

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Decomposition Of Global Conformal Invariants

given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the;

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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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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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Stochastic Analysis on Manifolds

differential equations on Euclidean space. After presenting the basics of stochastic analysis on manifolds, the author introduces Brownian motion on a;

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Tensors, Differential Forms and Variational Principles

The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior;

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Semi-Riemannian Geometry With Applications to Relativity

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished;

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Introduction to Global Variational Geometry

The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the;

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Homogeneous Structures on Riemannian Manifolds

representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are;

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Variational Methods in Lorentzian Geometry

Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which;

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Variational Methods in Lorentzian Geometry

Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which;

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

equation, the derivation of a variational formulation for relativistic mechanics firstly through (semi)-Riemannian geometry are covered. The second;

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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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Riemannian Geometry of Contact and Symplectic Manifolds

Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact;

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Riemannian Geometry

also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one;

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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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Elliptic Functions

In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay;

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Riemannian Geometry

geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new;

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Variational Methods

With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse;

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Encyclopedia of Mathematics and its Applications

the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles, a robust;

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Branching Solutions To One-dimensional Variational Problems

curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a;

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Iterated Integrals And Cycles On Algebraic Manifolds

of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his exposition accessible to;

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Introduction to Ergodic Theory (MN-18), Volume 18

to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic;

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Riemannian Geometry and Geometric Analysis

emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation;

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