Lorentzian Geometry and Related Topics (eBook)

GeLoMa 2016, Málaga, Spain, September 20–23

María A. Cañadas-Pinedo, José Luis Flores, Francisco J. Palomo (Herausgeber)

eBook Download: PDF

2018 | 1st ed. 2017
X, 273 Seiten
Springer International Publishing (Verlag)
978-3-319-66290-9 (ISBN)

Infos

This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area. Based on contributions from the VIII International Meeting on Lorentzian Geometry, held at the University of Málaga, Spain, this volume covers topics such as distinguished (maximal, trapped, null, spacelike, constant mean curvature, umbilical...) submanifolds, causal completion of spacetimes, stationary regions and horizons in spacetimes, solitons in semi-Riemannian manifolds, relation between Lorentzian and Finslerian geometries and the oscillator spacetime.

In the last decades Lorentzian geometry has experienced a significant impulse, which has transformed it from just a mathematical tool for general relativity to a consolidated branch of differential geometry, interesting in and of itself. Nowadays, this field provides a framework where many different mathematical techniques arise with applications to multiple parts of mathematics and physics. This book is addressed to differential geometers, mathematical physicists and relativists, and graduate students interested in the field.

Inhalt

Space-time Convex Functions and Sectional Curvature.- Spacelike Hypersurfaces in the Lorentz-Minkowski Space with the Same Riemannian and Lorentzian Mean Curvature.- Null Hypersurfaces on Lorentzian Manifolds and Rigging Techniques.- Recent Results on Oscillator Spacetimes.- Anti-de Sitter Spacetimes and Isoparametric Hypersurfaces in Complex Hyperbolic Spaces.

Produkt-Details

• Erscheint lt. Verlag: 6.3.2018
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Zusatzinfo: X, 273 p. 14 illus., 8 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Conformal Methods • Flinsler Spaces • General relativity • Global Submanifolds • gravitational waves • Initial Data Sets • Isolated Systems • Lorentzian geometry • stability
• ISBN-10: 3-319-66290-2 / 3319662902
• ISBN-13: 978-3-319-66290-9 / 9783319662909