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Lorentzian Geometry and Related Topics

GeLoMa 2016, Málaga, Spain, September 20–23

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. María A. Cañadas-Pinedo

    1. Department of Algebra, Geometry, Topology, University of Malaga, Málaga, Spain

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    You can also search for this editor in PubMed   Google Scholar

  2. José Luis Flores

    1. Department of Algebra, Geometry, Topology, University of Malaga, Málaga, Spain

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    You can also search for this editor in PubMed   Google Scholar

  3. Francisco J. Palomo

    1. Department of Applied Mathematics, University of Malaga, Malaga, Spain

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 211)

Included in the following conference series:

Conference proceedings info: GELOMA 2016.

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Table of contents (14 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Spacelike Hypersurfaces in the Lorentz-Minkowski Space with the Same Riemannian and Lorentzian Mean Curvature

    • Eva M. Alarcón, Alma L. Albujer, Magdalena Caballero
    Pages 1-12

  3. Space-Time Convex Functions and Sectional Curvature

    • Stephanie B. Alexander, William A. Karr
    Pages 13-26

  4. Recent Results on Oscillator Spacetimes

    • Giovanni Calvaruso
    Pages 27-39

  5. Umbilical Spacelike Submanifolds of Arbitrary Co-dimension

    • Nastassja Cipriani, José M. M. Senovilla
    Pages 41-50

  6. A Study in Stationary: Geometric Properties of Stationary Regions and Regularity of Their Horizons

    • I. P. Costa e Silva
    Pages 51-85

  7. Anti-De Sitter Spacetimes and Isoparametric Hypersurfaces in Complex Hyperbolic Spaces

    • J. Carlos Díaz-Ramos, Miguel Domínguez-Vázquez, Víctor Sanmartín-López
    Pages 87-101

  8. Future Completion of a Spacetime and Standard Causal Constructions

    • Stacey (Steven) G. Harris
    Pages 103-115

  9. Some Criteria for Wind Riemannian Completeness and Existence of Cauchy Hypersurfaces

    • Miguel Ángel Javaloyes, Miguel Sánchez
    Pages 117-151

  10. Extending Translating Solitons in Semi-Riemannian Manifolds

    • Erdem Kocakuşaklı, Miguel Ortega
    Pages 153-168

  11. Trivalent Maximal Surfaces in Minkowski Space

    • Wai Yeung Lam, Masashi Yasumoto
    Pages 169-184

  12. Constant Mean Curvature Hypersurfaces in the Steady State Space: A Survey

    • Rafael López
    Pages 185-212

  13. Calabi–Bernstein-Type Problems in Lorentzian Geometry

    • Rafael M. Rubio
    Pages 213-236

  14. Null Hypersurfaces on Lorentzian Manifolds and Rigging Techniques

    • Benjamín Olea
    Pages 237-251

  15. Surfaces With Light-Like Points In Lorentz-Minkowski 3-Space With Applications

    • Masaaki Umehara, Kotaro Yamada
    Pages 253-273
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  1. Lorentzian Geometry and Related Topics

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About this book

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.

Editors and Affiliations

  • Department of Algebra, Geometry, Topology, University of Malaga, Málaga, Spain

    María A. Cañadas-Pinedo, José Luis Flores

  • Department of Applied Mathematics, University of Malaga, Malaga, Spain

    Francisco J. Palomo

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