Splitting theorems for submanifolds of nonnegative isotropic curvature
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Publication:1758352
DOI10.1007/s00025-011-0152-7zbMath1256.53030OpenAlexW2074486085MaRDI QIDQ1758352
Publication date: 9 November 2012
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-011-0152-7
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
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Cites Work
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- Manifolds with nonnegative isotropic curvature
- A splitting theorem for open nonnegatively curved manifolds
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- Kaehler manifolds isometrically immersed in Euclidean space
- Metrics with nonnegative isotropic curvature
- On the structure of complete manifolds of nonnegative curvature
- Manifolds with 1/4-pinched curvature are space forms
- On Manifolds with Nonnegative Curvature on Totally Isotropic 2-Planes
- A Splitting Theorem for Complete Manifolds with Nonnegative Curvature Operator
- On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
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