Pseudo-Finsler Spaces Modeled on a Pseudo-Minkowski Space
Sign Up to like & getrecommendations! Published in 2018 at "Reports on Mathematical Physics"
DOI: 10.1016/s0034-4877(18)30069-7
Abstract: We adopt a vierbein formalism to study pseudo-Finsler spaces modeled on a pseudo-Minkowski space. We show that it is possible to obtain closed expressions for most of the geometric objects of the theory, including Berwald's… read more here.
Keywords: pseudo finsler; finsler spaces; minkowski space; spaces modeled ... See more keywords
Huygens’ envelope principle in Finsler spaces and analogue gravity
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DOI: 10.1088/1361-6382/ab0f03
Abstract: We extend to the $n$-dimensional case a recent theorem establishing the validity of the Huygens' envelope principle for wavefronts in Finsler spaces. Our results have direct applications in analogue gravity models, for which the Fermat's… read more here.
Keywords: huygens envelope; finsler spaces; envelope principle; geometry ... See more keywords
On complete Finsler spaces of constant negative Ricci curvature
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DOI: 10.1142/s0219887820500413
Abstract: Here, using the projectively invariant pseudo-distance and Schwarzian derivative, it is shown that every connected complete Finsler space of the constant negative Ricci scalar is reversible. In par... read more here.
Keywords: negative ricci; finsler spaces; complete finsler; constant negative ... See more keywords
Homogeneous Finsler spaces with exponential metric
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DOI: 10.1515/advgeom-2020-0008
Abstract: Abstract We prove the existence of an invariant vector field on a homogeneous Finsler space with exponential metric, and we derive an explicit formula for the S-curvature of a homogeneous Finsler space with exponential metric.… read more here.
Keywords: spaces exponential; finsler spaces; homogeneous finsler; exponential metric ... See more keywords