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1.
Dongmei Tang 《Differential Geometry and its Applications》2011,29(2):207-213
In this paper, we study a new non-Riemannian quantity H defined by the S-curvature. We find that the non-Riemannian quantity is closely related to S-curvature. We characterize Randers metrics of almost isotropic S-curvature if and only if they have almost vanishing H-curvature. Furthermore, the Randers metrics actually have zero S-curvature if and only if they have vanishing H-curvature. 相似文献
2.
The S-curvature is one of most important non-Riemannian quantities in Finsler geometry. It delicately related to Riemannian quantities. This note gives an explicit construction of 3-parameter family of non-locally projectively flat Finsler metrics of non-constant isotropic S-curvature. The necessary and sufficient condition that these Finsler metrics are of constant flag curvature is given. 相似文献
3.
Jürgen Jost 《Calculus of Variations and Partial Differential Equations》1994,2(2):173-204
We show the existence of harmonic mappings with values in possibly singular and not necessarily locally compact complete metric length spaces of nonpositive curvature in the sense of Alexandrov. As a technical tool, we show that any bounded sequence in such a space has a subsequence whose mean values converge. We also give a general definition of harmonic maps between metric spaces based on mean value properties and-convergence. 相似文献
4.
Enrico M. Vitale 《Journal of Pure and Applied Algebra》2003,177(3):303-308
The categorical structure of H2 is shown to be a particular instance of the cokernel of a morphism between symmetric categorical groups. 相似文献
5.
Atsushi Tachikawa 《Calculus of Variations and Partial Differential Equations》2003,16(2):217-224
In this paper, we consider the energy of maps from an Euclidean space into a Finsler space and study the partial regularity of energy minimizing maps. We show that the -dimensional Hausdorff measure of the singular set of every energy minimizing map is 0 for some , when m=3,4.
Received: 6 June 2001 / Accepted: 10 July 2001 / Published online: 12 October 2001 相似文献
6.
Heiko von der Mosel Sven Winklmann 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2009
We prove global C0,α-estimates for harmonic maps from Finsler manifolds into regular balls of Riemannian target manifolds generalizing results of Giaquinta, Hildebrandt, and Hildebrandt, Jost and Widman from Riemannian to Finsler domains. As consequences we obtain a Liouville theorem for entire harmonic maps on simple Finsler manifolds, and an existence theorem for harmonic maps from Finsler manifolds into regular balls of a Riemannian target. 相似文献
7.
Etienne Sandier Itai Shafrir 《Calculus of Variations and Partial Differential Equations》1994,2(1):113-122
We study the uniqueness of minimizing harmonic maps to a closed hemisphere. We are able to describe the boundary data for which there are more than one minimizer, and to describe in these cases the corresponding set of minimizers. This is a limiting case for a former result of W.Jäger and H.Kaul.This article was processed by the author using the Springer-Verlag TEX PJourlg macro package 1991. 相似文献
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The conformai theory of Finsler spaces was initiated by Knebelman in 1929 and lately Kikuchi [7] gave the conditions for a
Finsler space to be conformai to a Minkowski space. However under theh-condition, the third author [4] obtained the conditions for a Finsler space to beh-conformal to a Minkowski space.
The purpose of the paper is to investigate the infinitesimalh-conformal motions of Finsler metric and its application to anH-recurrent Finsler space. We obtain the following results.
A. | Theorem 2.1. If an HR-F n space is a Landsberg space, then the tensorF hjk i is recurrent. | |
B. |
Proposition 3.3. An infinitesimalh-conformal motion satisfies
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