Maximum Principles on Riemannian Manifolds and Applications - 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 Maximum Principles on Riemannian Manifolds and Applications write by Stefano Pigola. This book was released on 2005. Maximum Principles on Riemannian Manifolds and Applications available 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.
Maximum Principles and Geometric Applications
Maximum Principles and Geometric Applications - 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 Maximum Principles and Geometric Applications write by Luis J. Alías. This book was released on 2016-02-13. Maximum Principles and Geometric Applications available in PDF, EPUB and Kindle. This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.
Uncertainty Principles on Riemannian Manifolds
Uncertainty Principles on Riemannian 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 Uncertainty Principles on Riemannian Manifolds write by Wolfgang Erb. This book was released on 2011. Uncertainty Principles on Riemannian Manifolds available in PDF, EPUB and Kindle. In this thesis, the Heisenberg-Pauli-Weyl uncertainty principle on the real line and the Breitenberger uncertainty on the unit circle are generalized to Riemannian manifolds. The proof of these generalized uncertainty principles is based on an operator theoretic approach involving the commutator of two operators on a Hilbert space. As a momentum operator, a special differential-difference operator is constructed which plays the role of a generalized root of the radial part of the Laplace-Beltrami operator. Further, it is shown that the resulting uncertainty inequalities are sharp. In the final part of the thesis, these uncertainty principles are used to analyze the space-frequency behavior of polynomial kernels on compact symmetric spaces and to construct polynomials that are optimally localized in space with respect to the position variance of the uncertainty principle.
A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds
A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian 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 A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds write by Ulrich Dierkes. This book was released on 1986. A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds available in PDF, EPUB and Kindle.
Maximum and Comparison Principles at Infinity on Riemannian Manifolds
Maximum and Comparison Principles at Infinity on Riemannian 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 Maximum and Comparison Principles at Infinity on Riemannian Manifolds write by Stefano Pigola. This book was released on 2003. Maximum and Comparison Principles at Infinity on Riemannian Manifolds available in PDF, EPUB and Kindle.
