Lagrangian submanifolds satisfying a basic equality

DOI10.1017/S0305004100074867zbMath0860.53034OpenAlexW2097914139MaRDI QIDQ4892434

Bang-Yen Chen, Luc Vrancken

Publication date: 21 April 1997

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074867

zbMATH Keywords

complex space formLagrangian isometric immersion

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Real submanifolds in complex manifolds (32V40) Global submanifolds (53C40)

Related Items (12)

Special slant surfaces with non-constant mean curvature in 2-dimensional complex space forms ⋮ Interaction of Legendre curves and Lagrangian submanifolds ⋮ Characterization of Whitney spheres among Lagrangian submanifolds with conformal Maslov form ⋮ An optimal inequality related to characterizations of the contact Whitney spheres in Sasakian space forms ⋮ On Chen invariants and inequalities in quaternionic geometry ⋮ Some optimal inequalities for anti-invariant submanifolds of the unit sphere ⋮ An optimal inequality and extremal classes of affine spheres in centroaffine geometry ⋮ Lagrangian submanifolds in para-Kähler manifolds ⋮ A basic inequality and new characterization of Whitney spheres in a complex space form ⋮ Improved Chen-Ricci inequality for curvature-like tensors and its applications ⋮ CR-Warped Submanifolds in Kaehler Manifolds ⋮ New characterizations of the Whitney spheres and the contact Whitney spheres

Cites Work

• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
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