Results 91 to 100 of about 130 (118)

On Normal Coördinates. [PDF]

Proc Natl Acad Sci U S A, 1936
Thomas TY.
europepmc   +1 more source

On the History of Unified Field Theories. [PDF]

Living Rev Relativ, 2004
Goenner HF.
europepmc   +1 more source

On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry [PDF]

Proc Natl Acad Sci U S A, 2012
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Grove-Shiohama type sphere theorem in Finsler geometry

Grove-Shiohama type sphere theorem in Finsler geometry
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A sphere theorem for non-reversible Finsler metrics

Mathematische Annalen, 2004
For manifolds \(M\) endowed with non-reversible Finsler metric \(F\) the notion of {reversibility} \(\lambda=\max\{F(-X)\mid F(X)=1\}\geq1\) is introduced. The following generalization of the classical sphere theorem of Riemannian geometry is proved: ``If a simply connected and compact Finsler manifold of dimension \(n\geq3\) with reversibility ...
Hans-Bert Rademacher, Rademacher Hans-Bert   +1 more
exaly   +2 more sources

On minimal surfaces in a class of Finsler 3-spheres

Geometriae Dedicata, 2013
The present paper is devoted to minimal surfaces in a Bao-Shen sphere which is \(S^3\) with a Randers metric associated to a Killing vector field tangent to the Hopf fibers. More precisely, for \(c\in \mathbb{R}\) it is proved that the helicoids \(f_c:\mathbb{R}^2\rightarrow S^3\) given by \(f_c(s, t)=(\cos s\, e^{ict}, \sin s\, e^{it})\) are minimal ...
Ningwei Cui
exaly   +2 more sources

Homogeneous Einstein Finsler Metrics on -dimensional Spheres

Canadian Mathematical Bulletin, 2018
Abstract In this paper, we study a class of homogeneous Finsler metrics of vanishing $S$ -curvature on a
Libing Huang, Xiaohuan Mo
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Closed geodesics on Finsler spheres

Calculus of Variations and Partial Differential Equations, 2011
Since Katok found examples of Finsler structures on \(S^2\) with only \(2\) distinct closed geodesics in 1973, the classical problem of counting geometrically distinct closed geodesics on Riemannian manifolds gained a new frontier; namely, that of considering the same problem on Finsler manifolds. Several interesting results regarding this problem were
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Blaschke Finsler metrics on spheres

International Journal of Geometric Methods in Modern Physics, 2019
In this paper, it is shown that the reversible Blaschke Finsler metrics on spheres with vanishing [Formula: see text]-curvature are Riemannian.
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