An extension of a result of H. Hopf to Kähler submanifolds of \(\mathbb{R}^ n\)

zbMath0849.53042MaRDI QIDQ1915398

Marco Rigoli, Renato Tribuzy, Maria João Ferreira

Publication date: 17 November 1996

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1995__94__11_0

zbMATH Keywords

product immersionsimmersions of Kähler manifolds in Euclidean spacesparallel \((1, 1)\)-component of complex bilinear extension of the second fundamental form

Mathematics Subject Classification ID

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

Cites Work

• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
• Harmonic maps from surfaces to complex projective spaces
• Counterexample to a conjecture of H. Hopf
• Minimal immersions of surfaces in Euclidean spheres
• On holomorphic sections of certain hermitian vector bundles
• Isometric immersions of Riemannian products
• Reduction of the codimension of an isometric immersion
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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