In an earlier work, we investigated some consequences of the existence of a Kahler metric of negative holomorphic sectional curvature on a projective manifold. In the present work, we extend our results to the case of semi-negative (i.e., non-positive) holomorphic sectional curvature. In doing...
Define bisectional. bisectional synonyms, bisectional pronunciation, bisectional translation, English dictionary definition of bisectional. v. bi·sect·ed , bi·sect·ing , bi·sects v. tr. To cut or divide into two parts, especially two equal parts. v.
Mathematics On manifolds with Ricci curvature lower bound and Kahler manifolds with nonpositive bisectional curvature UNIVERSITY OF MINNESOTA Jiaping Wang LiuGangThe relation between curvature and topology is a fundamental problem in differential geometry. For example, the Gauss-Bonnet theorem says the ...
2. Para-Kähler manifolds of constant P -sectional curvature Let (M, P, g)) be a para-Kähler manifold and let denote the curvature (0, 4)tensor field by R(X, Y, Z, V ) = g(R(X, Y )Z, V ), ∀X, Y, Z, V......
Sectional CurvatureVolume FormIf X is a compact Khler manifold of dimension n , we let denote the cone of Khler classes, and the level set given by classes D with D n =1. This space is naturally a Riemannian manifold and is isometric to the manifold of Khler forms ω with ω n ...
Kahler流形 全纯截面曲率 特征定理 子流形 无限接近 R类 GC 空间形式We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite nearly K hler manifold and obtain characterization theorems for holomorp...
Kahler-Ricci流Ricci曲率推论Cheeger-Cromov-Hausdorff拓扑The authors show that the 2-non-negative traceless bisectional curvature is preserved along the K hler-Ricci flow. The positivity of Ricci curvature is also preserved along the K hler-Ricci flow with 2-non-negative traceless bisectional curvatur...
If a normalized Kahler-Ricci flow g(t), t is an element of [0,infinity), on a compact Kahler manifold M, dim(C) M = n >= 3, with positive first Chern class satisfies g(t) is an element of 2 pi c(1)(M) and has curvature operator uniformly bounded in L-n-norm, the ...
holomorphic bisectional curvatureWe obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite nearly K hler manifold and obtain characterization theorems for holomorphic sectional and holomorphic bi...
Huai-Dong Cao and Meng Zhu, A note on compact Kahler-Ricci flow with positive bisectional curvature, Math. Res. Lett. 16 (2009), no. 6, 935-939.Phong, D.H., Song, J., Sturm, J. and Weinkove, B., The K¨ahler-Ricci flow with positive bisectional curvature, Invent. Math., ...