Tangent and normal bundles in almost complex geometry
نویسندگان
چکیده
منابع مشابه
Almost Hermitian structures on tangent bundles
In this article, we consider the almost Hermitian structure on TM induced by a pair of a metric and an affine connection on M . We find the conditions under which TM admits almost Kähler structures, Kähler structures and Einstein metrics, respectively. Moreover, we give two examples of Kähler-Einstein structures on TM . 2000 Mathematics Subject Classification: 53C55, 53C15, 53C25.
متن کاملComplex manifolds with ample tangent bundles ∗ Renyi
Let M be a close complex manifold and T M its holomorphic tangent bundle. We prove that if the global holomorphic sections of tangent bundle generate each fibre, then M is a complex homogeneous manifold. It implies that every irreducible close Kähler manifold with ample tangent bundle is isomorphic to the projective space. This provides an alternative proof of Hartshore's conjecture in algebrai...
متن کاملComplex manifolds with ample tangent bundles ∗
Let M be a close complex manifold and T M its holomorphic tangent bundle. We prove that if the global holomorphic sections of tangent bundle generate each fibre, then M is a complex homogeneous manifold. It implies that every irreducible close Kähler manifold with ample tangent bundle is isomorphic to the projective space. This provides an alternative proof of Hartshore's conjecture in algebrai...
متن کاملNew structures on the tangent bundles and tangent sphere bundles
In this paper we study a Riemanian metric on the tangent bundle T (M) of a Riemannian manifold M which generalizes Sasaki metric and Cheeger Gromoll metric and a compatible almost complex structure which together with the metric confers to T (M) a structure of locally conformal almost Kählerian manifold. This is the natural generalization of the well known almost Kählerian structure on T (M). W...
متن کاملA class of almost tangent structures in generalized geometry
A generalized almost tangent structure on the big tangent bundle T M associated to an almost tangent structure on M is considered and several features of it are studied with a special view towards integrability. Deformation under a βor a B-field transformation and the compatibility with a class of generalized Riemannian metrics are discussed. Also, a notion of tangentomorphism is introduced as ...
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: Differential Geometry and its Applications
سال: 2007
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2007.02.007