Collaring and $(n-1)$-manifold in an $n$-manifold
نویسندگان
چکیده
منابع مشابه
ON N(k)−QUASI EINSTEIN MANIFOLD
In the present paper we have studied an N(k)-quasi Einstein manifold satisfying R(ξ, X).P̃ , where P̃ is the pseudo-projective curvature tensor. Among others, it is shown that if quasi-Einstein manifold with constant associated scalars is Ricci symmetric then the generator of the manifold is a Killing vector field. AMS Mathematics Subject Classification (2000): 53C25
متن کاملON EMBEDDING ALL n-MANIFOLDS INTO A SINGLE (n+ 1)-MANIFOLD
For each composite number n = 2k, there does not exist a single connected closed (n + 1)-manifold such that any smooth, simply-connected, closed n-manifold can be topologically flatly embedded into it. There is a single connected closed 5-manifold W such that any simply-connected, 4-manifold M can be topologically flatly embedded into W ifM is either closed and indefinite, or compact and with n...
متن کاملRemote state preparation in higher dimension and the parallelizable manifold S n − 1
This paper proves that the remote state preparation (RSP) scheme in real Hilbert space can only be implemented when the dimension of the space is 2,4 or 8. This fact is shown to be related to the parallelazablity of the n-1 dimensional sphere Sn−1. When the dimension is 4 and 8 the generalized scheme is explicitly presented. It is also shown that for a given state with components having the sam...
متن کاملManifold Regularization for SIR with Rate Root-n Convergence
In this paper, we study the manifold regularization for the Sliced Inverse Regression (SIR). The manifold regularization improves the standard SIR in two aspects: 1) it encodes the local geometry for SIR and 2) it enables SIR to deal with transductive and semi-supervised learning problems. We prove that the proposed graph Laplacian based regularization is convergent at rate root-n. The projecti...
متن کاملON AN n-MANIFOLD IN C NEAR AN ELLIPTIC COMPLEX TANGENT
In this paper, we will be concerned with the local biholomorphic properties of a real n-manifold M in C. At a generic point, such a manifold basically has the nature of the standard R in C. Near a complex tangent, however, the consideration can be much more complicated and the manifold may acquire a nontrivial local hull of holomorphy and many other biholomorphic invariants. The study of such a...
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: Transactions of the American Mathematical Society
سال: 1970
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1970-0258045-6