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Progress in Lorentzian Geometry : GeLoMer 2024, Mérida, México, January 29–February 2 / edited by Waldemar Barrera, Jónatan Herrera, Juan Pablo Navarrete, Matias Navarro, Oscar Palmas, Didier A. Solis.

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online

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Format:
Book
Author/Creator:
Barrera, Waldemar.
Contributor:
Herrera, Jónatan.
Navarrete, Juan Pablo.
Navarro, Matias.
Palmas Velasco, Óscar Alfredo.
Solis, Didier A.
Series:
Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 512
Language:
English
Subjects (All):
Geometry, Differential.
General relativity (Physics).
Gravitation.
Mathematical physics.
Differential Geometry.
General Relativity.
Gravitational Physics.
Mathematical Methods in Physics.
Local Subjects:
Differential Geometry.
General Relativity.
Gravitational Physics.
Mathematical Methods in Physics.
Physical Description:
1 online resource (809 pages)
Edition:
1st ed. 2025.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Summary:
This proceedings volume gathers selected, revised papers presented at the XI International Meeting on Lorentzian Geometry (GeLoMer 2024), held at the Autonomous University of Yucatán, Mexico, from January 29 to February 2, 2024. Lorentzian geometry provides the mathematical foundation for Einstein's theory of relativity. It incorporates aspects from different branches of mathematics, such as differential geometry, partial differential equations, and mathematical analysis, to name a few. This volume includes surveys describing the state-of-the-art in specific areas, and a selection of the most relevant results presented at the conference, which is seen as a benchmark for those working in Lorentz geometry due to its relevance. Given its scope, the book will be of interest to both young and experienced mathematicians and physicists whose research involves general relativity and semi-Riemannian geometry.
Contents:
Preface
Semi Riemannian Nearly Khaler G X G
Global flatness for asymptotically at spacetimes
Isometric lightlike immersions in R x Qn+1, c,1
The vacuum weighted Einstein field equations on pure radiation waves
Conformally Einstein Lorentzian Lie groups
Causal ladder of Finsler spacetimes with a cone Killing vector field
A geometric reduction method for some fully nonlinear first order PDEs on semi-Riemannian manifolds
Mean curvature, singularities and time functions in cosmology
C0-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes
Spacelike causal boundary at nite distance and continuous extension of the metric: second preliminary report
From Lorentzian manifolds to signature-type change with singular transverse metrics
Constant angle surfaces in I x f R2,1 with a null principal direction
Vacuum cosmological spacetimes without CMC Cauchy surfaces
On pseudo-parallel surfaces
Introduction to Kundt spaces
Topologies on the future causal completion
On the application of Lorentz-Finsler geometry to model wave propagation
The ladder of Finsler-type objects and their variational problems on spacetimes
Compact plane waves with parallel Weyl curvature
Author Index.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-031-99212-1
9783031992124
OCLC:
1543221471

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