Longtime existence of Kähler–Ricci flow and holomorphic sectional curvature
نویسندگان
چکیده
In this work, we obtain a existence criteria for the longtime K\ahler Ricci flow solution. Using result, generalize result by Wu-Yau on of Einstein metric to case with possibly unbounded curvature. Moreover, negative scalar curvture must be unique up scaling.
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 the Canonical Line Bundle and Negative Holomorphic Sectional Curvature
We prove that a smooth complex projective threefold with a Kähler metric of negative holomorphic sectional curvature has ample canonical line bundle. In dimensions greater than three, we prove that, under equal assumptions, the nef dimension of the canonical line bundle is maximal. With certain additional assumptions, ampleness is again obtained. The methods used come from both complex differen...
متن کاملRicci Flow and Nonnegativity of Sectional Curvature
In this paper, we extend the general maximum principle in [NT3] to the time dependent Lichnerowicz heat equation on symmetric tensors coupled with the Ricci flow on complete Riemannian manifolds. As an application we exhibit complete Riemannian manifolds with bounded nonnegative sectional curvature of dimension greater than three such that the Ricci flow does not preserve the nonnegativity of t...
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: Communications in Analysis and Geometry
سال: 2022
ISSN: ['1019-8385', '1944-9992']
DOI: https://doi.org/10.4310/cag.2022.v30.n7.a2