Codimension-one foliations of spheres
نویسندگان
چکیده
منابع مشابه
Codimension One Symplectic Foliations
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.
متن کاملElimination of Resonances in Codimension One Foliations
The problem of reduction of singularities for germs of codimension one foliations in dimension three has been solved by Cano in [3]. The author divides the proof in two steps. The first one consists in getting pre-simple points and the second one is the passage from pre-simple to simple points. In arbitrary dimension of the ambient space the problem is open. In this paper we solve the second st...
متن کاملA non-existence theorem for Morse type holomorphic foliations of codimension one transverse to spheres
We prove that a Morse type codimension one holomorphic foliation is not transverse to a sphere in the complex affine space. Also we characterize the variety of contacts of a linear foliation with concentric spheres.
متن کاملCodimension One Spheres Which Are Null Homotopic
Grove and Halperin [3] introduced a notion of taut immersions. Terng and Thorbergsson [5] give a slightly different definition and showed that taut immersions are a simultaneous generalization of taut immersions of manifolds into Euclidean spaces or spheres, and some interesting embeddings constructed by Bott and Samelson [1]. They go on to prove many theorems about such immersions. One particu...
متن کاملLie Algebras of Vector Fields and Codimension One Foliations
LIE ALGEBRAS OF VECTOR FIELDS AND CODIMENSION ONE FOLIATIONS
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: Bulletin of the American Mathematical Society
سال: 1971
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1971-12730-1