The isoperimetric problem in 2-dimensional the Finsler space forms

来源 :2016黎曼-芬斯勒几何国际会议 | 被引量 : 0次 | 上传用户:song0719
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  We will discuss the isoperimetric problem in point of view of variation method in 2-dimensional the Finsler space forms with K=0 and K=-1.The circle centered at origin is proved to be locally minimal of the isoperimetric problem.
其他文献
  We introduce a construction that associates a Riemannian metric gF(called the Binet-Legendre metric)to a given Finsler metric F on a smooth manifold M.The t
会议
  There are two notions of scalar curvatures in Finsler geometry,one of which is the average of the Ricci curvature on the sphere fibre while another is the t
会议
  In this lecture,we will discuss a class of Finsler metrics of constant flag curvature.By using the properties of Weyl curvature and-curvature,we find two pa
会议
  In this talk,we prove the weak maximum principle in pointwise sense,Hopfs Lemma and the strong maximum principle for Q-subharmonic functions.
会议
  Randers metrics are natural and important Finsler metrics.In this lecture we review recent results in Randers geometry.In particular,we show a non-existence
会议
  In this talk,I start by introducing the concept of mean curvature for hypersurfaces in Minkowski space and also the anisotropic mean curvature.Then we discu
会议
  Chern classes are characteristic classes associated with vector bundles on a smooth manifold,they were introduced by Shiing-Shen Chern about seventy years a
会议
  An(α,β)-manifold(M,F)is a Finsler manifold with the Finsler metric F being defined by a Riemannian metric α and 1-form β on the manifold M.In this paper
会议
  In this talk we study Finsler submanifold theory from viewpoint of Chern connection.We introduce the notions of the second fundamental form and mean curvatu
会议
  The paper proposes extensions of the notions of Busemann-Hausdorff and Holmes-Thompson volume to Finslerian spacetime manifolds.These notions are designed t
会议