On a relation between the topology and the intrinsic and extrinsic geometries of a compact submanifold

DOI10.1017/S0013091500017119zbMath0576.53036OpenAlexW2057887603MaRDI QIDQ3697735

Pui-Fai Leung

Publication date: 1985

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500017119

zbMATH Keywords

second fundamental formsectional curvaturestable p-currents

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (10)

Homotopy and homology vanishing theorems and the stability of stochastic flows ⋮ Vanishing theorems for the cohomology groups of free boundary submanifolds ⋮ On the topology of CR-warped product submanifolds ⋮ SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE ⋮ Null homology in warped product Lagrangian submanifolds of the nearly Kaehler \(\mathbb{S}^6\) and its applications ⋮ Mean curvature and shape operator of isometric immersions in real-space-forms ⋮ Non-existence of stable currents in submanifolds of the Euclidean spaces ⋮ Stable currents and homology groups in a compact CR-warped product submanifold with negative constant sectional curvature ⋮ Homology of submanifolds of six dimensional sphere ⋮ Ricci curvature on warped product submanifolds in spheres with geometric applications

Cites Work

• On stable currents and their application to global problems in real and complex geometry
• Codimension Two Submanifolds of Positive Curvature

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