On minimal Legendrian submanifolds of Sasaki–Einstein manifolds

DOI10.1142/S0129167X14500839zbMath1312.53064arXiv1404.2467MaRDI QIDQ2930082

Simone Calamai, David Petrecca

Publication date: 17 November 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2467

zbMATH Keywords

minimal submanifoldsSasaki-Einstein manifoldLegendrian submanifoldsLaplacian eigenfunctionstotally geodesic submanifoldscontact moment mapNomizu operator

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items

Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Second variation and Legendrian stabilities of minimal Legendrian submanifolds in Sasakian manifolds
• Equivariant completions of homogeneous algebraic varieties by homogeneous divisors
• Homogeneous Lagrangian submanifolds
• Contact manifolds in Riemannian geometry
• Totally geodesic submanifolds of symmetric spaces. I
• Homogeneous complex hypersurfaces
• Minimal varieties in Riemannian manifolds