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On a class of projectively Ricci-flat Finsler metrics

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1 Published in 2020 at "Differential Geometry and Its Applications"

DOI: 10.1016/j.difgeo.2020.101680

Abstract: Abstract Every Finsler metric induces a spray on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of a projective spray is called… read more here.

Keywords: finsler metrics; ricci flat; finsler; ricci curvature ... See more keywords

Finsler geometry of nonlinear elastic solids with internal structure

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0 Published in 2017 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2016.11.011

Abstract: Abstract Concepts from Finsler differential geometry are applied towards a theory of deformable continua with internal structure. The general theory accounts for finite deformation, nonlinear elasticity, and various kinds of structural features in a solid… read more here.

Keywords: theory; finsler; geometry; internal structure ... See more keywords

On the existence of homogeneous geodesic in homogeneous Finsler spaces

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0 Published in 2018 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2017.10.005

Abstract: Abstract A connected Finsler space ( M , F ) is said to be homogeneous if it admits a transitive connected Lie group G of isometries. A geodesic in a homogeneous Finsler space is called… read more here.

Keywords: geodesic homogeneous; homogeneous finsler; finsler; finsler space ... See more keywords

Randers pp -waves

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1 Published in 2021 at "Physical Review D"

DOI: 10.1103/physrevd.104.024007

Abstract: In this work we study Randers spacetimes of Berwald type and analyze Pfeifer and Wohlfarth's vacuum field equation of Finsler gravity for this class. We show that in this case the field equation is equivalent… read more here.

Keywords: finsler; randers waves; gravity; equation ... See more keywords

Existence of Continuous or Constant Finsler's Variables for Parameter-Dependent Systems

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0 Published in 2017 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2017.2682221

Abstract: Finsler's lemma is a classic mathematical result with applications in control and optimization. When the lemma is applied to parameter-dependent LMIs, as such those that arise from problems of robust stability, the extra variables introduced… read more here.

Keywords: existence continuous; finsler variables; finsler; parameter dependent ... See more keywords

On invariant Finsler metrics under (almost) β-changes

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1 Published in 2017 at "International Journal of Geometric Methods in Modern Physics"

DOI: 10.1142/s0219887817501560

Abstract: In this paper, we are going to study some β-changes of the special class of Finsler metrics which we refer to as the (almost) β-change and generalized (almost) β-conformal changes. We investigate Douglas and Weyl… read more here.

Keywords: metrics almost; finsler metrics; almost changes; finsler ... See more keywords

Super Finsler connection of superparticle on two-dimensional curved spacetime

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0 Published in 2019 at "International Journal of Geometric Methods in Modern Physics"

DOI: 10.1142/s0219887819500555

Abstract: We analyze the Casalbuoni–Brink–Schwarz superparticle model on a 2-dimensional curved spacetime as a super Finsler metric defined on a (2,2)-dimensional supermanifold. We propose a nonlinear Finsler connection which preserves this Finsler metric and calculates it… read more here.

Keywords: finsler; dimensional curved; superparticle; curved spacetime ... See more keywords

Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces

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1 Published in 2022 at "International Journal of Geometric Methods in Modern Physics"

DOI: 10.1142/s0219887823501906

Abstract: We locally classify all SO(3)-invariant 4-dimensional pseudo-Finsler Berwald structures. These are Finslerian geometries which are closest to (spatially, or SO(3))-spherically symmetric pseudo-Riemannian ones - and serve as ansatz to find solutions of Finsler gravity equations… read more here.

Keywords: finsler; dimensional spherically; symmetric berwald; four dimensional ... See more keywords

Homogeneous Finsler spaces with exponential metric

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0 Published in 2020 at "Advances in Geometry"

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

Homogeneous Finsler spaces and the flag-wise positively curved condition

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0 Published in 2018 at "Forum Mathematicum"

DOI: 10.1515/forum-2018-0130

Abstract: In this paper, we introduce the flag-wise positively curved condition for Finsler spaces (the (FP) condition), which means that in each tangent plane, there exists a flag pole in this plane such that the corresponding… read more here.

Keywords: wise positively; homogeneous finsler; condition; finsler ... See more keywords

Upper bounds on the diameter for Finsler manifolds with weighted Ricci curvature

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1 Published in 2018 at "Miskolc Mathematical Notes"

DOI: 10.18514/mmn.2018.2492

Abstract: In this paper we obtain some Cheeger-Gromov-Taylor type compactness theorems for a forward complete and connected Finsler manifold of dimensional n 2 via weighted Ricci curvatures. The proofs are based on the index form of… read more here.

Keywords: diameter finsler; bounds diameter; finsler manifolds; upper bounds ... See more keywords