Minimal submanifolds in Riemannian spin manifolds with parallel spinor fields

DOI10.1016/S0393-0440(01)00059-6zbMath1009.53035WikidataQ115338892 ScholiaQ115338892MaRDI QIDQ1602440

Hiroshi Iriyeh

Publication date: 23 June 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorminimal submanifoldsparallel spinor field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Spin and Spin({}^c) geometry (53C27)

Related Items (3)

Extrinsic conformal lower bounds of eigenvalue for Dirac operator ⋮ On Floer Homology of the Gauss Images of Isoparametric Hypersurfaces ⋮ Infinitesimally holomorphic curves in hyperkähler four-manifolds

Cites Work

• Minimal surfaces in Kähler surfaces and Ricci curvature
• Extrinsic bounds for eigenvalues of the Dirac operator
• On the spinor representation of surfaces in Euclidean \(3\)-space
• The second variation of area of minimal surfaces in four-manifolds
• Dirac operator on embedded hypersurfaces
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