Results 121 to 130 of about 4,520 (139)

HOLOMORPHIC SECTIONAL AND BISECTIONAL CURVATURES OF ALMOST HERMITIAN MANIFOLDS

SUT Journal of Mathematics, 1995
The study of the holomorphic sectional curvature of Kähler manifolds has been developed intensively and it provides many interesting results on the structure of these manifolds. Although many efforts have been devoted to the extension of those results to broader classes of manifolds, there are still two basic open questions: when does the pointwise ...
Hsiung, Chuan-Chih, Yang, Wenmao, Friedland, Lew   +2 more
openaire   +2 more sources

Bergman metrics with constant holomorphic sectional curvatures

Journal für die reine und angewandte Mathematik (Crelles Journal)
Abstract The paper studies complex manifolds whose Bergman metrics are incomplete but have constant holomorphic sectional curvature. We will construct a real analytic unbounded domain in C 2
Huang, Xiaojun, Li, Song-Ying, Treuer, John N.   +2 more
openaire   +2 more sources

Holomorphic sectional curvatures of indefinite complex Grassmann manifolds

Mathematical Proceedings of the Cambridge Philosophical Society, 1983
In (2), indefinite Kählerian manifolds have been examined from the point of view of holomorphic sectional curvature. Examples in (2) show that the analogue of Kulkarni's theorem (see (4), p. 173) for the holomorphic sectional curvature is false and the best possible result in the direction is:Theorem 1 (known, (2)).
Montiel, Sebastian, Romero, Alfonso
openaire   +2 more sources

Curvature and holomorphic sections of Hermitian bundles

Siberian Mathematical Journal, 1990
See the review in Zbl 0688.32024.
openaire   +2 more sources

Kähler manifolds of quasi-constant holomorphic sectional curvature

Journal of Geometry, 2008
In correspondence with the manifolds of quasi-constant sectional curvature defined (cf [5], [9]) in the Riemannian context, we introduce in the Kahlerian framework the geometric notion of quasi-constant holomorphic sectional curvature. Some characterizations and properties are given.
Cornelia-Livia Bejan, Michele Benyounes
openaire   +1 more source

LOCALLY CONFORMALLY KÄHLERIAN MANIFOLDS OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE

Mathematics of the USSR-Sbornik, 1992
See the review in Zbl 0732.53055.
openaire   +2 more sources

Examples of Complete Kähler Metrics with Nonnegative Holomorphic Sectional Curvature

Journal of Geometric Analysis, 2022
Bo Yang
exaly  

Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature

Mathematische Zeitschrift, 2022
Xiaolan Nie
exaly  

Holomorphic submanifolds, holomorphic sections and curvature

2011
openaire   +1 more source

Negative holomorphic curvature and positive canonical bundle

Inventiones Mathematicae, 2015
Shing-Tung Yau
exaly