Nonnegativity of the curvature operator and isotropy for isometric immersions

DOI10.1007/BF01214986zbMath0476.53032WikidataQ126175831 ScholiaQ126175831MaRDI QIDQ1160437

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173222

zbMATH Keywords

second fundamental form Veronese surface isometric immersion isotropic immersion nonnegative sectional curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (3)

Gauge theory, isotropy, and surfaces in affine 4-space ⋮ Total curvature of complete submanifolds of Euclidean space ⋮ A Splitting Theorem for Complete Manifolds with Nonnegative Curvature Operator

Cites Work

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Positive Sectional Curvatures Does not Imply Positive Gauss-Bonnet Integrand
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Isotropic and Kähler Immersions
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The Gauss-Bonnet Theorem for Riemannian Polyhedra

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