On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces

DOI10.1090/conm/646/12978zbMath1361.53047OpenAlexW4246828955MaRDI QIDQ3187341

Shihshu Walter Wei, Ralph Howard

Publication date: 2 September 2016

Published in: Geometry and Topology of Submanifolds and Currents (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/646/12978

zbMATH Keywords

mean curvaturehomology groupsmasssecond fundamental formsnon-negative curvaturestable currentsstable minimal submanifoldscohomology groups with compact support

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) de Rham theory in global analysis (58A12) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Algebraic topology of manifolds (57N65)

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