Results 1 to 10 of about 42 (42)
Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range
Analysis and Geometry in Metric Spaces, 2022 We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function.
Lu Yufeng +2 more
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Eigenfunctions in Finsler Gaussian solitons
Open Mathematics, 2023 Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
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Certain Conditions for a Finsler Manifold to Be Isometric with a Finsler Sphere
Analysis and Geometry in Metric Spaces, 2022 We show that if there is a smooth function f on a Finsler n-space M satisfying Δ2f = −kfgΔf for a positive constant k, then M is diffeomorphic with the n-sphere 𝕊n, where g denotes the weighted Riemannian metric.
Yin Songting, Wang Huarong
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Connecting and Closed Geodesics of a Kropina Metric
Advanced Nonlinear Studies, 2021 We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo’s navigation problem ...
Caponio Erasmo +3 more
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A Note on Finsler Version of Calabi‐Yau Theorem
Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018 We generalize Calabi‐Yau’s linear volume growth theorem to Finsler manifold with the weighted Ricci curvature bounded below by a negative function and show that such a manifold must have infinite volume.
Songting Yin +3 more
wiley +1 more source
The warped product of holomorphic Lie algebroids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures.
Ionescu Alexandru, Munteanu Gheorghe
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Nonlinear connections and spinor geometry
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 23, Page 1189-1237, 2004., 2004 We present an introduction to the geometry of higher‐order vector and covector bundles (including higher‐order generalizations of the Finsler geometry and Kaluza‐Klein gravity) and review the basic results on Clifford and spinor structures on spaces with generic local anisotropy modeled by anholonomic frames with associated nonlinear connection ...
Sergiu I. Vacaru, Nadejda A. Vicol
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Deformation of complex Finsler metrics
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The aim of this paper is to describe the infinitesimal deformation (M, V) of a complex Finsler space family {(M, Lt)}t∈ℝ and to study some of its geometrical objects (metric tensor, non-linear connection, etc).
Szász-Friedl Annamária
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Randers manifolds of positive constant curvature
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 18, Page 1155-1165, 2003., 2003 We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd‐dimensional sphere, provided a certain 1‐form vanishes on it.
Aurel Bejancu, Hani Reda Farran
wiley +1 more source
On generalized P-reducible Finsler manifolds
Open Mathematics, 2018 The class of generalized P-reducible manifolds (briefly GP-reducible manifolds) was first introduced by Tayebi and his collaborates [1]. This class of Finsler manifolds contains the classes of P-reducible manifolds, C-reducible manifolds and Landsberg ...
Zamanzadeh Seyyed Mohammad +2 more
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