Detlef Gromoll and Kristopher Tapp
نویسنده
چکیده
We classify the complete metrics of nonnegative sectional curvature on M × R, where M is any compact 2-manifold.
منابع مشابه
The Geometry of Open Manifolds of Nonnegative
THE GEOMETRY OF OPEN MANIFOLDS OF NONNEGATIVE CURVATURE
متن کاملQuasi-positive Curvature on Homogeneous Bundles
We provide new examples of manifolds which admit a Riemannian metric with sectional curvature nonnegative, and strictly positive at one point. Our examples include the unit tangent bundles of CP, HP and CaP, and a family of lens space bundles over CP.
متن کاملFlats in Riemannian Submersions from Lie Groups
We prove that any base space of Riemannian submersion from a compact Lie group (with bi-invariant metric) must have a basic property previously known for normal biquotients; namely, any zero-curvature plane exponentiates to a flat.
متن کاملNonnegatively Curved Vector Bundles with Large Normal Holonomy Groups
When B is a biquotient, we show that there exist vector bundles over B with metrics of nonnegative curvature whose normal holonomy groups have arbitrarily large dimension.
متن کاملVolume Growth and Holonomy in Nonnegative Curvature
The volume growth of an open manifold of nonnegative sectional curvature is proven to be bounded above by the difference between the codimension of the soul and the maximal dimension of an orbit of the action of the normal holonomy group of the soul. Additionally, an example of a simplyconnected soul with a non-compact normal holonomy group is constructed.
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 2002