PINCHING THEOREMS FOR A COMPACT MINIMAL SUBMANIFOLD IN A COMPLEX PROJECTIVE SPACE

DOI10.1017/S0004972708000129zbMath1138.53048MaRDI QIDQ5387229

Mayuko Kon

Publication date: 8 May 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

sectional curvatureminimal submanifoldcomplex projective spaceflat normal connectionsemi-flat normal connection

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35)

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Cites Work

• Normal curvature and real submanifold of the complex projective space
• Submanifolds with L-flat normal connection of the complex projective space
• Differential geometry of Kaehler submanifolds
• Minimal varieties in Riemannian manifolds
• On harmonic and Killing vector fields
• Real Minimal Hypersurfaces in a Complex Projective Space