Manifolds With Cusps Of Rank One
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Author | : Werner Müller |
Publisher | : Springer |
Total Pages | : 169 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540477624 |
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The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one. This index formula is used to prove a conjecture of Hirzebruch concerning the relation of signature defects of cusps of Hilbert modular varieties and special values of L-series. This book is intended for readers working in the field of automorphic forms and analysis on non-compact Riemannian manifolds, and assumes a knowledge of PDE, scattering theory and harmonic analysis on semisimple Lie groups.
Author | : Werner Muller |
Publisher | : |
Total Pages | : 172 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662201480 |
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Author | : Werner Müller |
Publisher | : |
Total Pages | : 158 |
Release | : 1980 |
Genre | : |
ISBN | : |
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Author | : Werner Müller |
Publisher | : |
Total Pages | : 260 |
Release | : 1985 |
Genre | : Elliptic operators |
ISBN | : |
Download L2-index of Elliptic Operators on Manifolds with Cusps of Rank One Book in PDF, Epub and Kindle
Author | : Werner Müller |
Publisher | : |
Total Pages | : 246 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download L_1hn2-index of elliptic operators on manifolds with cusps of rank one Book in PDF, Epub and Kindle
Author | : W. Mueller |
Publisher | : |
Total Pages | : 246 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download L Hoch 2 -index of Elliptic Operators on Manifolds with Cusps of Rank One Book in PDF, Epub and Kindle
Author | : Juergen Elstrodt |
Publisher | : Springer Science & Business Media |
Total Pages | : 530 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662036266 |
Download Groups Acting on Hyperbolic Space Book in PDF, Epub and Kindle
This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauß had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2,
Author | : A. Marden |
Publisher | : Cambridge University Press |
Total Pages | : 393 |
Release | : 2007-05-31 |
Genre | : Mathematics |
ISBN | : 1139463764 |
Download Outer Circles Book in PDF, Epub and Kindle
We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.
Author | : Robert Everist Greene |
Publisher | : American Mathematical Soc. |
Total Pages | : 681 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 0821814958 |
Download Differential Geometry: Geometry in Mathematical Physics and Related Topics Book in PDF, Epub and Kindle
The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author | : Werner Mueller |
Publisher | : |
Total Pages | : 158 |
Release | : 1987 |
Genre | : |
ISBN | : |
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