Results 11 to 19 of about 19 (19)
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
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
wiley +1 more source
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
Lagrange geometry on tangent manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3241-3266, 2003., 2003 Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry. In this paper, we study a generalization which consists of replacing the tangent bundle by a general ...
Izu Vaisman
wiley +1 more source
The geometry of autonomous metrical multi‐time Lagrange space of electrodynamics
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 1, Page 7-15, 2002., 2002 The aim of this paper is to create a large geometrical background for the study of important branch of physics: electrodynamics, bosonic strings theory, magneto‐hydrodynamics, and so forth. The geometrical construction is realized on the 1‐jet fibre bundle J1(T, M) and is produced by a given quadratic multi‐time Lagrangian function L.
Mircea Neagu
wiley +1 more source
Geometry of product complex Cartan manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Aldea Nicoleta, Munteanu Gheorghe
doaj +1 more source
Mean Value Property Related to the Finsler p-Laplacian
Abstract and Applied AnalysisMSC2020 Classification: 35A08, 35B05,35J60 ...
Benyam Mebrate
doaj +1 more source
Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]
J Dyn Control Syst, 2023 Antonelli G +2 more
europepmc +1 more source
Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]
J Geom Anal, 2019 Wan X.
europepmc +1 more source