Flat totally real submanifolds of \(CP^ n\) and the symmetric generalized wave equation

DOI10.2748/tmj/1178225639zbMath0865.53051OpenAlexW2006652289MaRDI QIDQ1893806

Marcos Dajczer, Ruy Tojeiro

Publication date: 19 July 1995

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225639

zbMATH Keywords

mean curvatureHopf fibrationtotally real submanifold

Mathematics Subject Classification ID

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

Related Items (7)

Parallel mean curvature tori in \(\mathbb{C}P^2\) and \(\mathbb{C}H^2\) ⋮ On product minimal Lagrangian submanifolds in complex space forms ⋮ The vectorial Ribaucour transformation for submanifolds of constant sectional curvature ⋮ On the periodicity of planes with parallel mean curvature vector in \(\mathbb{C} H^2\) ⋮ Constant Gaussian curvature surfaces with parallel mean curvature vector in two-dimensional complex space forms ⋮ Pseudo-parallel Lagrangian submanifolds in complex space forms ⋮ The Ribaucour transformation for flat Lagrangian submanifolds.

Cites Work

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• Nonnegatively curved totally real submanifolds
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• Isometric immersions of space forms in space forms
• Totally Real Submanifolds with Nonnegative Sectional Curvature
• Totally Real Minimal Immersions of n-Dimensional Real Space Forms into n-Dimensional Complex Space Forms
• Bäcklund's theorem for submanifolds of space forms and a generalized wave equation
• Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection

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