A Variational Problem in Conformal Spin Geometry
Author: Bernd Eberhard Ammann
Publisher:
Published: 2006
Total Pages: 80
ISBN-13:
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Author: Bernd Eberhard Ammann
Publisher:
Published: 2006
Total Pages: 80
ISBN-13:
DOWNLOAD EBOOKAuthor: Roger Bielawski
Publisher: Cambridge University Press
Published: 2011-10-20
Total Pages: 216
ISBN-13: 1139504118
DOWNLOAD EBOOKWith a mix of expository and original papers this volume is an excellent reference for experienced researchers in geometric variational problems, as well as an ideal introduction for graduate students. It presents all the varied methods and techniques used in attacking geometric variational problems and includes many up-to-date results.
Author: Nicolas Ginoux
Publisher: Springer Science & Business Media
Published: 2009-06-11
Total Pages: 168
ISBN-13: 3642015697
DOWNLOAD EBOOKThis volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.
Author: Paul Baird
Publisher:
Published: 2004-03-26
Total Pages: 174
ISBN-13: 9783034879699
DOWNLOAD EBOOKAuthor: Hannu Jaakko Rajaniemi
Publisher:
Published: 2006
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Enno Keßler
Publisher: Springer Nature
Published: 2019-08-28
Total Pages: 305
ISBN-13: 3030137589
DOWNLOAD EBOOKThis book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1. The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth families of complex manifolds and integration theory are developed. The second part studies uniformization, U(1)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gravitino field. A natural geometric action functional on super Riemann surfaces is shown to reproduce the action functional of the non-linear supersymmetric sigma model using a component field formalism. The conserved currents of this action can be identified as infinitesimal deformations of the super Riemann surface. This is in surprising analogy to the theory of Riemann surfaces and the harmonic action functional on them. This volume is aimed at both theoretical physicists interested in a careful treatment of the subject and mathematicians who want to become acquainted with the potential applications of this beautiful theory.
Author: Hannu Jaakko Rajaniemi
Publisher:
Published: 2006
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Vladimir Rovenski
Publisher: Springer Nature
Published:
Total Pages: 323
ISBN-13: 3031505867
DOWNLOAD EBOOKAuthor: Jürgen Jost
Publisher: Springer Science & Business Media
Published: 2008-06-24
Total Pages: 589
ISBN-13: 354077341X
DOWNLOAD EBOOKThis established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. This new edition introduces and explains the ideas of the parabolic methods that have recently found such spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry.