Fano manifolds with nef tangent bundles are weakly almost Kähler–Einstein

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Fano Manifolds with Nef Tangent Bundles Admitting 1-dimensional Varieties of Minimal Rational Tangents

Let X be a Fano manifold of Picard number 1 with numerically effective tangent bundle. According to the principal case of a conjecture of Campana-Peternell’s, X should be biholomorphic to a rational homogeneous manifold G/P , where G is a simple Lie group, and P ⊂ G is a maximal

متن کامل

Complex 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 کامل

Complex 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 کامل

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 کامل

Second Order Tangent Bundles of Infinite Dimensional Manifolds

The second order tangent bundle T M of a smooth manifold M consists of the equivalent classes of curves on M that agree up to their acceleration. It is known [1] that in the case of a finite n-dimensional manifold M , T M becomes a vector bundle over M if and only if M is endowed with a linear connection. Here we extend this result to M modeled on an arbitrarily chosen Banach space and more gen...

متن کامل

ذخیره 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: Asian Journal of Mathematics

سال: 2018

ISSN: 1093-6106,1945-0036

DOI: 10.4310/ajm.2018.v22.n2.a5