Hadamard-Frankel type theorems for manifolds with partially positive curvature

DOI10.2140/pjm.1996.176.129zbMath0865.53053OpenAlexW1499391941MaRDI QIDQ1816534

Katsuei Kenmotsu, Chang-Yu Xia

Publication date: 15 December 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1996.176.129

zbMATH Keywords

Kähler manifoldnonnegative bisectional curvaturenonnegative Ricci curvaturetotally geodesic submanifoldsintersection of submanifoldspartially positive curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (12)

On \((k,\varepsilon)\)-saddle submanifolds of Riemannian manifolds ⋮ Obstructions to positive curvature and symmetry ⋮ The intersection of two real forms in the complex hyperquadric ⋮ Homotopy connectedness theorems for submanifolds of Sasakian manifolds ⋮ Complete submanifolds of manifolds of negative curvature ⋮ Unnamed Item ⋮ The partial positivity of the curvature in Riemannian symmetric spaces ⋮ About topology of saddle submanifolds ⋮ Lusternik-Schnirelmann category and embedding finite covering maps, principal \(G\)-bundles into bundles ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Complete submanifolds with bounded mean curvature in a Hadamard manifold

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