Universally polar cohomogeneity two Riemannian manifolds of constant negative curvature
نویسندگان
چکیده
منابع مشابه
On cohomogeneity one nonsimply connected 7-manifolds of constant positive curvature
In this paper, we give a classification of non simply connected seven dimensional Reimannian manifolds of constant positive curvature which admit irreducible cohomogeneity-one actions. We characterize the acting groups and describe the orbits. The first and second homo-topy groups of the orbits have been presented as well.
متن کاملConstant k-curvature hypersurfaces in Riemannian manifolds
In [8], Rugang Ye proved the existence of a family of constant mean curvature hypersurfaces in an m+ 1-dimensional Riemannian manifold (M, g), which concentrate at a point p0 (which is required to be a nondegenerate critical point of the scalar curvature), moreover he proved that this family constitute a foliation of a neighborhood of p0. In this paper we extend this result to the other curvatu...
متن کاملManifolds of Cohomogeneity Two
First, a word from our sponsor (particle physics). The mathematical reader should not expect to understand the physics, but (paraphrasing A. N. Varchenko) just let the words wash over you like music. Acharya & Witten [1] and Atiyah & Witten [2] have demonstrated that singularities in G2 holonomy manifolds 1 can compactify M -theory yielding effective quantum field theories in 3+1 dimensional Mi...
متن کاملon cohomogeneity one nonsimply connected 7-manifolds of constant positive curvature
in this paper, we give a classification of non simply connected seven dimensional reimannian manifolds of constant positive curvature which admit irreducible cohomogeneity-one actions. we characterize the acting groups and describe the orbits. the first and second homo-topy groups of the orbits have been presented as well.
متن کاملStable constant mean curvature hypersurfaces in some Riemannian manifolds
We determine all stable constant mean curvature hypersurfaces in a wide class of complete Riemannian manifolds having a foliation whose leaves are umbilical hypersurfaces. Among the consequences of this analysis we obtain all the stable constant mean curvature hypersurfaces in many nonsimply connected hyperbolic space forms. Mathematics Subject Classification (1991). Primary 53A10; Secondary 49...
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: Cogent Mathematics & Statistics
سال: 2018
ISSN: 2574-2558
DOI: 10.1080/25742558.2018.1523516