منابع مشابه
Vector Fields on Manifolds
where n = dim M and 6» = ith Betti number of M ( = dim of Hi(M; Q)). Thus the geometric property of M having a nonzero vector field is expressed in terms of the algebraic invariant xM. We will discuss extensions of this idea to vector ^-fields, fields of ^-planes, and foliations of manifolds. All manifolds considered will be connected, smooth and without boundary; all maps will be continuous. F...
متن کاملNormal Forms of Vector Fields on Poisson Manifolds
We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.
متن کاملHarmonic-Killing vector fields on Kähler manifolds
In a previous paper we have considered the harmonicity of local infinitesimal transformations associated to a vector field on a (pseudo)-Riemannian manifold to characterise intrinsi-cally a class of vector fields that we have called harmonic-Killing vector fields. In this paper we extend this study to other properties, such as the pluriharmonicity and the α-pluriharmonicity (α harmonic 2-form) ...
متن کاملNormal Vector Fields on Manifolds1
2. Statement of results. We will be concerned with cohomology groups having as coefficients the integers, Z, or the integers mod 2, Z2. If Mn is an w-dimensional differentiable manifold, then WíElH'ÍM", Z2) denotes the îth Stiefel-Whitney class of the tangent bundle, and WiGH^M", Z2) denotes the ith dual Stiefel-Whitney class. Our first theorem gives a necessary condition for the existence of a...
متن کاملOn Concircular and Torse-forming Vector Fields on Compact Manifolds
In this paper we modify the theorem by E. Hopf and found results and conditions, on which concircular, convergent and torse-forming vector fields exist on (pseudo-) Riemannian spaces. These results are applied for conformal, geodesic and holomorphically projective mappings of special compact spaces without boundary.
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: 1961
ISSN: 0002-9939
DOI: 10.2307/2034120