منابع مشابه
Kähler Submanifolds with Lower Bounded Totally Real Bisectional Curvature Tensor
In this paper, we prove that if every totally real bisectional curvature of an n(≥ 3)-dimensional complete Kähler submanifold of a complex projective space of constant holomorphic sectional curvature c is greater than c 4(n2−1)n(2n− 1), then it is totally geodesic. Mathematics Subject Classifications: 53C50, 53C55, 53C56.
متن کاملReal Hypersurfaces with Constant Totally Real Bisectional Curvature in Complex Space Forms
In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space formMm(c), c 6= 0 as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].
متن کاملCompact Kähler Manifolds with Nonpositive Bisectional Curvature
Let (Mn, g) be a compact Kähler manifold with nonpositive bisectional curvature. We show that a finite cover is biholomorphic and isometric to a flat torus bundle over a compact Kähler manifold Nk with c1 < 0. This confirms a conjecture of Yau. As a corollary, for any compact Kähler manifold with nonpositive bisectional curvature, the Kodaira dimension is equal to the maximal rank of the Ricci ...
متن کاملOn Complete Noncompact Kähler Manifolds with Positive Bisectional Curvature
We prove that a complete noncompact Kähler manifold Mof positive bisectional curvature satisfying suitable growth conditions is biholomorphic to a pseudoconvex domain of C and we show that the manifold is topologically R2n. In particular, when M is a Kähler surface of positive bisectional curvature satisfying certain natural geometric growth conditions, it is biholomorphic to C2.
متن کاملCharacterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds
We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for a GCR-lightlike submanifold of an indefinite comple...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.2307/2041615