The Dual Foliation in Open Manifolds with Nonnegative Sectional Curvature
نویسنده
چکیده
We study several properties of the Sharafutdinov dual foliation in open manifolds with nonnegative sectional curvature.
منابع مشابه
On the k-nullity foliations in Finsler geometry
Here, a Finsler manifold $(M,F)$ is considered with corresponding curvature tensor, regarded as $2$-forms on the bundle of non-zero tangent vectors. Certain subspaces of the tangent spaces of $M$ determined by the curvature are introduced and called $k$-nullity foliations of the curvature operator. It is shown that if the dimension of foliation is constant, then the distribution is involutive...
متن کاملA Genealogy of Noncompact Manifolds of Nonnegative Curvature: History and Logic
This article presents an approach to the theory of open manifolds of nonnegative sectional curvature via the calculus of nonsmooth functions. This analytical approach makes possible a very compact development of the by now classical theory. The article also gives a summary of the historical development of the subject of open manifolds of nonnegative sectional curvature and of related topics. So...
متن کاملNonnegative Curvature and Normal Holonomy in Open Manifolds
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete, noncompact) manifolds. We only try to give an overview of some of the points that have interested the author recently. For a survey of a more general character the reader is strongly encouraged to read [5]. Most of the topics treated in this paper arose from conversations with G. Walschap. We s...
متن کاملStrictly Kähler-Berwald manifolds with constant holomorphic sectional curvature
In this paper, the authors prove that a strictly Kähler-Berwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
متن کاملPlurisubharmonic Functions and the Structure of Complete Kähler Manifolds with Nonnegative Curvature
In this paper, we study global properties of continuous plurisubharmonic functions on complete noncompact Kähler manifolds with nonnegative bisectional curvature and their applications to the structure of such manifolds. We prove that continuous plurisubharmonic functions with reasonable growth rate on such manifolds can be approximated by smooth plurisubharmonic functions through the heat flow...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007