Harmonic Morphisms Between Riemannian Manifolds PDF Download

Author: Paul Baird
Publisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.

Author: Fanghua Lin
Publisher: World Scientific
ISBN: 9812779523
Category : Science
Languages : en
Pages : 280

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Book Description
This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on experimental tests of these fundamental symmetries and on important theoretical issues, including scenarios for possible relativity violations. Experimental subjects covered include: astrophysical observations, clock-comparison measurements, cosmological birefringence, electromagnetic resonant cavities, gravitational tests, matter interferometry, muon behavior, neutrino oscillations, oscillations and decays of neutral mesons, particle-antiparticle comparisons, post-Newtonian gravity, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin-polarized matter.Theoretical topics covered include: physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and associated issues in field theory, particle physics, gravity, and string theory. The contributors consist of the leading experts in this very active research field.

Author: Yuri Kifer
Publisher:
ISBN:
Category :
Languages : en
Pages : 36

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Book Description

Author: Steven Rosenberg
Publisher: Cambridge University Press
ISBN: 9780521468312
Category : Mathematics
Languages : en
Pages : 190

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Book Description
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.

Author: Ovidiu Calin
Publisher: Springer Science & Business Media
ISBN: 0817644210
Category : Mathematics
Languages : en
Pages : 285

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Book Description
* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics

Author: Jürgen Jost
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 192

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Book Description

Author: James Eells
Publisher: World Scientific
ISBN: 9789810214661
Category : Mathematics
Languages : en
Pages : 38

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Book Description
Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, å-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and K„hlerian manifolds.A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire.This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers.

Author: Steve Zelditch
Publisher: American Mathematical Soc.
ISBN: 1470410370
Category : Mathematics
Languages : en
Pages : 410

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Book Description
Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys inter-related themes and results and offers an up-to-date comprehensive treatment of this important active area of research.

Author: Frédéric Hélein
Publisher: Cambridge University Press
ISBN: 9780521811606
Category : Mathematics
Languages : en
Pages : 298

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Book Description
Publisher Description

Author: James Eells
Publisher: World Scientific
ISBN: 9789810207045
Category : Mathematics
Languages : en
Pages : 472

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Book Description
These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.