Recent Trends in Lorentzian Geometry (eBook)
XII, 356 Seiten
Springer New York (Verlag)
978-1-4614-4897-6 (ISBN)
Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed.
Samples of these fresh trends are presented in this volume, based on contributions from the VI International Meeting on Lorentzian Geometry, held at the University of Granada, Spain, in September, 2011. Topics such as geodesics, maximal, trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations between Lorentzian and Finslerian geometries, and applications to mathematical physics are included. ?
This book will be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers in the field.
Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed. Samples of these fresh trends are presented in this volume, based on contributions from the VI International Meeting on Lorentzian Geometry, held at the University of Granada, Spain, in September, 2011. Topics such as geodesics, maximal, trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations between Lorentzian and Finslerian geometries, and applications to mathematical physics are included. This book will be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers in the field.
Hyperbolic metrics on Riemann surfaces and spacelike CMC-1 surfaces in de Sitter 3-space, Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara and Kotaro Yamada. - Bernstein results and parabolicity of maximal surfaces in Lorentzian product spaces, Alma L. Albujer and Luis J. Alías, Calabi. - Umbilical-Type Surfaces in Spacetime, José M. M. Senovilla. - Stability of marginally outer trapped surfaces and applications, Marc Mars. - Area inequalities for stable marginally trapped surfaces, José Luis Jaramillo. - Infinitesimal and local convexity of a hypersurface in a semi-Riemannian manifold, Erasmo Caponio. - Global geodesic properties of Gödel type spacetimes, R. Bartolo, A.M. Candela and J.L. Flores.- The geometry of collapsing isotropic fluids, Roberto Giamb`o and Giulio Magli. - Conformally standard stationary spacetimes and Fermat metrics, Miguel Ángel Javaloyes. - Can we make a Finsler metric complete by a trivial projective change? Vladimir S. Matveev. - The c-boundary construction of spacetimes: application to stationary Kerr spacetime, J.L. Flores and J. Herrera. - On the isometry group of Lorentz manifolds, Leandro A. Lichtenfelz, Paolo Piccione, and Abdelghani Zeghib. - Conformally flat homogeneous Lorentzian Manifolds, Kyoko Honda and Kazumi Tsukada. - Polar actions on symmetric spaces, José Carlos Díaz-Ramos. - (para)-Kähler Weyl structures, P. Gilkey and S. Nikčević
| Erscheint lt. Verlag | 6.11.2012 |
|---|---|
| Reihe/Serie | Springer Proceedings in Mathematics & Statistics | Springer Proceedings in Mathematics & Statistics |
| Zusatzinfo | XII, 356 p. |
| Verlagsort | New York |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Technik | |
| Schlagworte | Applications to Finsler Geometry • boundaries of spacetimes • constant mean curvature • Global Lorentzian Geometry • maximal surfaces • pseudo-symmetric spaces |
| ISBN-10 | 1-4614-4897-2 / 1461448972 |
| ISBN-13 | 978-1-4614-4897-6 / 9781461448976 |
| Haben Sie eine Frage zum Produkt? |
PDF (Wasserzeichen)Größe: 4,1 MB
DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasserzeichen und ist damit für Sie personalisiert. Bei einer missbräuchlichen Weitergabe des eBooks an Dritte ist eine Rückverfolgung an die Quelle möglich.
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich
