An Introduction To The Analysis Of Paths On A Riemannian Manifold PDF Download
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Author | : Daniel W. Stroock |
Publisher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821838393 |
Download An Introduction to the Analysis of Paths on a Riemannian Manifold Book in PDF, ePub and Kindle
Hoping to make the text more accessible to readers not schooled in the probabalistic tradition, Stroock (affiliation unspecified) emphasizes the geometric over the stochastic analysis of differential manifolds. Chapters deconstruct Brownian paths, diffusions in Euclidean space, intrinsic and extrinsic Riemannian geometry, Bocher's identity, and the bundle of orthonormal frames. The volume humbly concludes with an "admission of defeat" in regard to recovering the Li-Yau basic differential inequality. Annotation copyrighted by Book News, Inc., Portland, OR.
Author | : Steven Rosenberg |
Publisher | : Cambridge University Press |
Total Pages | : 190 |
Release | : 1997-01-09 |
Genre | : Mathematics |
ISBN | : 9780521468312 |
Download The Laplacian on a Riemannian Manifold Book in PDF, ePub and Kindle
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Author | : Leonor Godinho |
Publisher | : Springer |
Total Pages | : 476 |
Release | : 2014-07-26 |
Genre | : Mathematics |
ISBN | : 3319086669 |
Download An Introduction to Riemannian Geometry Book in PDF, ePub and Kindle
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
Author | : Steven Rosenberg |
Publisher | : |
Total Pages | : 185 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 9781107362062 |
Download The Laplacian on a Riemannian Manifold Book in PDF, ePub and Kindle
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Author | : Feng-Yu Wang |
Publisher | : World Scientific |
Total Pages | : 392 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 9814452653 |
Download Analysis for Diffusion Processes on Riemannian Manifolds Book in PDF, ePub and Kindle
Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.
Author | : Clara L. Aldana |
Publisher | : American Mathematical Soc. |
Total Pages | : 271 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821891448 |
Download Analysis, Geometry and Quantum Field Theory Book in PDF, ePub and Kindle
This volume contains the proceedings of the conference ``Analysis, Geometry and Quantum Field Theory'' held at Potsdam University in September 2011, which honored Steve Rosenberg's 60th birthday. The papers in this volume cover a wide range of areas, including Quantum Field Theory, Deformation Quantization, Gerbes, Loop Spaces, Index Theory, Determinants of Elliptic Operators, K-theory, Infinite Rank Bundles and Mathematical Biology.
Author | : Bernhard Riemann |
Publisher | : Birkhäuser |
Total Pages | : 181 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 3319260421 |
Download On the Hypotheses Which Lie at the Bases of Geometry Book in PDF, ePub and Kindle
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Author | : John M. Lee |
Publisher | : Springer Science & Business Media |
Total Pages | : 232 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 0387227261 |
Download Riemannian Manifolds Book in PDF, ePub and Kindle
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author | : Batu Güneysu |
Publisher | : Birkhäuser |
Total Pages | : 239 |
Release | : 2017-12-22 |
Genre | : Mathematics |
ISBN | : 3319689037 |
Download Covariant Schrödinger Semigroups on Riemannian Manifolds Book in PDF, ePub and Kindle
This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities. The results presented here provide the first systematic study of such operators that is sufficiently general to simultaneously treat the natural operators from quantum mechanics, such as magnetic Schrödinger operators with singular electric potentials, and those from geometry, such as squares of Dirac operators that have smooth but endomorphism-valued and possibly unbounded potentials. The book is largely self-contained, making it accessible for graduate and postgraduate students alike. Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral theory, and mathematical physics..
Author | : Stefano Pigola |
Publisher | : American Mathematical Soc. |
Total Pages | : 118 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821836390 |
Download Maximum Principles on Riemannian Manifolds and Applications Book in PDF, ePub and Kindle
Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.