Normal Structures for Locally Flat Embeddings
نویسندگان
چکیده
منابع مشابه
Embeddings of Locally Connected Compacta
Let A' be a ^-dimensional compactum and /: X -» M" a map into a piecewise linear n-manifold. n > k + 3. The main result of this paper asserts that if X is locally (2k ^-connected and / is (2k n + l)-connected, then / is homotopic to a CE equivalence. In particular, every ^--dimensional, /-connected, locally /--connected compactum is CE equivalent to a compact subset of R2*~r as long as r < k 3....
متن کاملOn a class of locally projectively flat Finsler metrics
In this paper we study Finsler metrics with orthogonal invariance. We find a partial differential equation equivalent to these metrics being locally projectively flat. Some applications are given. In particular, we give an explicit construction of a new locally projectively flat Finsler metric of vanishing flag curvature which differs from the Finsler metric given by Berwald in 1929.
متن کاملNonlocally Flat Embeddings, Smoothings, and Group Actions
Introduction. This note announces some methods and results concerned with piecewise linear (PL) embeddings of manifolds, in codimension two, that are not necessarily locally flat, i.e., not locally smoothable. Theorems 4 and 1 are PL embedding theorems in codimension two. They are analogous to PL embedding theorems of [H] (see also [W], especially for nonsimply connected cases) for higher codim...
متن کاملEmbeddings of Computable Structures
We study what the existence of a classical embedding between computable structures implies about the existence of computable embeddings. In particular, we consider the effect of fixing and varying the computable presentations of the computable structures.
متن کاملLocally conformal flat Riemannian manifolds with constant principal Ricci curvatures and locally conformal flat C-spaces
It is proved that every locally conformal flat Riemannian manifold all of whose Jacobi operators have constant eigenvalues along every geodesic is with constant principal Ricci curvatures. A local classification (up to an isometry) of locally conformal flat Riemannian manifold with constant Ricci eigenvalues is given in dimensions 4, 5, 6, 7 and 8. It is shown that any n-dimensional (4 ≤ n ≤ 8)...
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: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.2307/2035703