Almost Analytic Kähler Forms with Respect to a Quadratic Endomorphism with Applications in Riemann-Finsler Geometry
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0853-z
Abstract: The almost analyticity with respect to a quadratic endomorphism T is introduced in an algebraic setting concerning a commutative and associative algebra $$\mathcal {A}$$A. Two main properties are proved: the first concerns the simultaneous closedness… read more here.
Keywords: finsler geometry; riemann finsler; respect quadratic; almost analytic ... See more keywords
On Concircular Transformations in Finsler Geometry
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DOI: 10.1007/s00025-019-1088-6
Abstract: A geodesic circle in Finsler geometry is a natural extension of that in a Euclidean space. In this paper, we apply Lie derivatives and the Cartan $Y$-connection to study geodesic circles and (infinitesimal) concircular transformations… read more here.
Keywords: finsler geometry; concircular transformations; transformations finsler; geometry ... See more keywords
S-closed conformal transformations in Finsler geometry
Sign Up to like & getrecommendations! Published in 2018 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2018.02.004
Abstract: Abstract In this paper, we study S-closed conformal transformations, i.e., conformal transformations preserving the S-curvature invariant. Using the maximum principle, we prove that such transformation must be a homothety unless the Finsler manifold is Riemannian. read more here.
Keywords: finsler geometry; conformal transformations; transformations finsler; closed conformal ... See more keywords
Finsler geometry modeling and Monte Carlo study of 3D liquid crystal elastomer
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DOI: 10.1016/j.polymer.2017.02.065
Abstract: Abstract We study a three-dimensional (3 D ) liquid crystal elastomer (LCE) in the context of Finsler geometry (FG) modeling, where FG is a mathematical framework for describing anisotropic phenomena. The LCE is a 3… read more here.
Keywords: finsler geometry; monte carlo; crystal elastomer; liquid crystal ... See more keywords
Finsler geometry as a model for relativistic gravity
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DOI: 10.1142/s0219887818501669
Abstract: We give an overview on the status and on the perspectives of Finsler gravity, beginning with a discussion of various motivations for considering a Finslerian modification of General Relativity. The subjects covered include Finslerian versions… read more here.
Keywords: finsler geometry; geometry model; model relativistic; relativistic gravity ... See more keywords
Monte Carlo Study of Rubber Elasticity on the Basis of Finsler Geometry Modeling
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DOI: 10.3390/sym11091124
Abstract: Configurations of the polymer state in rubbers, such as so-called isotropic (random) and anisotropic (almost aligned) states, are symmetric/asymmetric under space rotations. In this paper, we present numerical data obtained by Monte Carlo simulations of… read more here.
Keywords: finsler geometry; geometry; monte carlo; rubber elasticity ... See more keywords
Lorentz Violation in Finsler Geometry
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DOI: 10.3390/sym15050978
Abstract: Lorentz invariance is one of the foundations of modern physics; however, Lorentz violation may happen from the perspective of quantum gravity, and plenty of studies on Lorentz violation have arisen in recent years. As a… read more here.
Keywords: finsler geometry; violation finsler; lorentz violation; geometry ... See more keywords
On a Yamabe Type Problem in Finsler Geometry
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DOI: 10.4153/cmb-2016-102-x
Abstract: Abstract In this paper, a newnotion of scalar curvature for a Finsler metric $F$ is introduced, and two conformal invariants $Y(M,F)$ and $C(M,F)$ are defined. We prove that there exists a Finsler metric with constant… read more here.
Keywords: yamabe type; finsler geometry; problem finsler; finsler ... See more keywords