On Willmore Legendrian surfaces in \(\mathbb S^5\) and the contact stationary Legendrian Willmore surfaces

DOI10.1007/s00526-017-1183-zzbMath1379.53055arXiv1705.11115OpenAlexW2617922764MaRDI QIDQ2403783

Yong Luo

Publication date: 12 September 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.11115

zbMATH Keywords

Sasakian manifoldWillmore Legendrian surfacecontact stationary Legendrian Willmore surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items

Sharp estimates for the first eigenvalue of Schrödinger operator in the unit sphere ⋮ An optimal inequality related to characterizations of the contact Whitney spheres in Sasakian space forms ⋮ On \(C\)-totally real submanifolds of \(\mathbb{S}^{2n+1}(1)\) with non-negative sectional curvature ⋮ Some optimal inequalities for anti-invariant submanifolds of the unit sphere ⋮ Complete Willmore Legendrian surfaces in \(\mathbb{S}^5\) are minimal Legendrian surfaces ⋮ Minimal Legendrian submanifolds in Sasakian space forms with \(C\)-parallel second fundamental form ⋮ \(C\)-totally real submanifolds with constant sectional curvature in the Sasakian space forms

Cites Work

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