Smooth invariants 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 کاملGROUPOID ASSOCIATED TO A SMOOTH MANIFOLD
In this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. We show that in the case of the $1$-dimensional manifolds, our groupoid has a smooth structure such that makes it into a Lie groupoid. Using this approach, we associated to every vector field an equivalence relation on the Lie algebra of all vector fields on the smooth...
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 کاملgroupoid associated to a smooth manifold
in this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. we show that in the case of the $1$-dimensional manifolds, our groupoid has a smooth structure such that makes it into a lie groupoid. using this approach, we associated to every vector field an equivalence relation on the lie algebra of all vector fields on the smooth...
متن کاملRiemannian Multi-Manifold Modeling
This paper advocates a novel framework for segmenting a dataset in a Riemannian manifold M into clusters lying around low-dimensional submanifolds of M . Important examples of M , for which the proposed clustering algorithm is computationally efficient, are the sphere, the set of positive definite matrices, and the Grassmannian. The clustering problem with these examples of M is already useful ...
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: Advances in Mathematics
سال: 1978
ISSN: 0001-8708
DOI: 10.1016/0001-8708(78)90043-9