Analysis and Geometry on Graphs and Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Geometry on Graphs and Manifolds write by Matthias Keller. This book was released on 2020-08-20. Analysis and Geometry on Graphs and Manifolds available in PDF, EPUB and Kindle. This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs write by Alexander Grigor'yan. This book was released on 2021-01-18. Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs available in PDF, EPUB and Kindle. The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Analysis of Quasilinear Inequalities on Complete Manifolds write by Bruno Bianchini. This book was released on 2021-01-18. Geometric Analysis of Quasilinear Inequalities on Complete Manifolds available in PDF, EPUB and Kindle. This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. The book highlights the mean curvature operator and its variants, and investigates the validity of strong maximum principles, compact support principles and Liouville type theorems. In particular, it identifies sharp thresholds involving curvatures or volume growth of geodesic balls in M to guarantee the above properties under appropriate Keller-Osserman type conditions, which are investigated in detail throughout the book, and discusses the geometric reasons behind the existence of such thresholds. Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.
Differential Analysis on Complex Manifolds
Differential Analysis on Complex Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Analysis on Complex Manifolds write by Raymond O. Wells. This book was released on 2007-12-06. Differential Analysis on Complex Manifolds available in PDF, EPUB and Kindle. A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.
Geometry and Analysis on Manifolds
Geometry and Analysis on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Analysis on Manifolds write by Toshikazu Sunada. This book was released on 2006-11-14. Geometry and Analysis on Manifolds available in PDF, EPUB and Kindle. The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
