Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04172-1
Abstract: Lorentzian manifolds with parallel spinors are important objects of study in several branches of geometry, analysis and mathematical physics. Their Cauchy problem has recently been discussed by Baum, Leistner and Lischewski, who proved that the… read more here.
Keywords: parallel spinors; construction initial; physics; lorentzian manifolds ... See more keywords
Aubry–Mather theory for Lorentzian manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0707-x
Abstract: We introduce a version of Aubry–Mather theory for the length functional of causal curves in compact Lorentzian manifolds. Results include the existence of maximal invariant measures, calibrations and calibrated curves. We prove two versions of… read more here.
Keywords: mather theory; aubry mather; theory lorentzian; lorentzian manifolds ... See more keywords
Lorentzian Manifolds Close to Euclidean Space
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DOI: 10.1134/s0037446619020058
Abstract: We study the Lorentzian manifolds M1, M2, M3, and M4 obtained by small changes of the standard Euclidean metric on ℝ4 with the punctured origin O. The spaces M1 and M4 are closed isotropic space-time… read more here.
Keywords: euclidean space; manifolds close; close euclidean; lorentzian manifolds ... See more keywords
Characterization of Ricci Almost Soliton on Lorentzian Manifolds
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DOI: 10.3390/sym15061175
Abstract: Ricci solitons (RS) have an extensive background in modern physics and are extensively used in cosmology and general relativity. The focus of this work is to investigate Ricci almost solitons (RAS) on Lorentzian manifolds with… read more here.
Keywords: lorentzian manifold; ssm connection; connection; lorentzian manifolds ... See more keywords