Smooth Orthogonal Projections on Riemannian Manifold
نویسندگان
چکیده
منابع مشابه
Smooth Orthogonal Projections on Sphere
We construct a decomposition of the identity operator on the sphere S as a sum of smooth orthogonal projections subordinate to an open cover of S. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.
متن کاملOn 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 کاملSobolev Metrics on the Riemannian Manifold of All Riemannian Metrics
On the manifold M(M) of all Riemannian metrics on a compact manifold M one can consider the natural L-metric as decribed first by [10]. In this paper we consider variants of this metric which in general are of higher order. We derive the geodesic equations, we show that they are well-posed under some conditions and induce a locally diffeomorphic geodesic exponential mapping. We give a condition...
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: Potential Analysis
سال: 2020
ISSN: 0926-2601,1572-929X
DOI: 10.1007/s11118-019-09818-3