The convexity radius of a Riemannian manifold
نویسندگان
چکیده
منابع مشابه
On a class of paracontact Riemannian manifold
We classify the paracontact Riemannian manifolds that their Riemannian curvature satisfies in the certain condition and we show that this classification is hold for the special cases semi-symmetric and locally symmetric spaces. Finally we study paracontact Riemannian manifolds satisfying R(X, ξ).S = 0, where S is the Ricci tensor.
متن کاملon a class of paracontact riemannian manifold
we classify the paracontact riemannian manifolds that their rieman-nian curvature satisfies in the certain condition and we show that thisclassification is hold for the special cases semi-symmetric and locally sym-metric spaces. finally we study paracontact riemannian manifolds satis-fying r(x, ξ).s = 0, where s is the ricci tensor.
متن کاملRiemannian Convexity
The aim of this report is to describe some recent research in the interdisciplinary area of convex functions and optimization methods on Riemannian manifolds summarizing the papers of C.Udriste, V.Balan, T.Rapcsak, T.Csendes, S.T.Smith, A.Edelman, T.Arias, O.P. Ferreira, P.R.Oliveira. The choice of the topics and references is largely influenced by the author’s own interests and it is no way a ...
متن کاملRiemannian Barycentres and Geodesic Convexity Riemannian Barycentres and Geodesic Convexity
Consider a closed subset of a Riemannian manifold, such that all geodesics with end-points in the subset are contained in the subset, and the subset has boundary of codimension one. Is it the case that Riemannian barycentres of probability measures supported by the subset must also lie in the subset? It is shown that this is the case for 2-manifolds but not the case in higher dimensions: a coun...
متن کاملEvolution of the first eigenvalue of buckling problem on Riemannian manifold under Ricci flow
Among the eigenvalue problems of the Laplacian, the biharmonic operator eigenvalue problems are interesting projects because these problems root in physics and geometric analysis. The buckling problem is one of the most important problems in physics, and many studies have been done by the researchers about the solution and the estimate of its eigenvalue. In this paper, first, we obtain the evol...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2017
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2017.v21.n1.a4