The Holomorphic Sectional Curvature of General Natural Kähler Structures on Cotangent Bundles
نویسندگان
چکیده
منابع مشابه
Para-Kahler tangent bundles of constant para-holomorphic sectional curvature
We characterize the natural diagonal almost product (locally product) structures on the tangent bundle of a Riemannian manifold. We obtain the conditions under which the tangent bundle endowed with the determined structure and with a metric of natural diagonal lift type is a Riemannian almost product (locally product) manifold, or an (almost) para-Hermitian manifold. We find the natural diagona...
متن کاملStrictly Kähler-Berwald manifolds with constant holomorphic sectional curvature
In this paper, the authors prove that a strictly Kähler-Berwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
متن کاملstrictly kähler-berwald manifolds with constant holomorphic sectional curvature
in this paper, the authors prove that a strictly kähler-berwald manifold with nonzero constant holomorphic sectional curvature must be a kähler manifold.
متن کاملOn product structures in Floer homology of cotangent bundles
In an earlier paper we have shown that the pair-of-pants product on the Floer homology of the cotangent bundle of an oriented compact manifold Q corresponds to the Chas-Sullivan loop product on the singular homology of the free loop space of Q. We now give chain level constructions of further product structures in Floer homology, corresponding to the cup product on the homology of any path spac...
متن کاملOn the Floer homology of cotangent bundles
This paper concerns Floer homology for periodic orbits and for a Lagrangian intersection problem on the cotangent bundle T M of a compact orientable manifold M . The first result is a new L estimate for the solutions of the Floer equation, which allows to deal with a larger and more natural class of Hamiltonians. The second and main result is a new construction of the isomorphism between the Fl...
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: Annals of the Alexandru Ioan Cuza University - Mathematics
سال: 2010
ISSN: 1221-8421
DOI: 10.2478/v10157-010-0008-6