Lorentzian Geometry and Related Topics : GeLoMa 2016, Málaga, Spain, September 20–23
|概要||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 contribu...tions 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.続きを見る|
|目次||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.
|本文を見る||Full text available from SpringerLINK ebooks - Mathematics and Statistics (2017)|