Rigidity of the Gauss map in compact Lie groups

DOI10.1215/S0012-7094-95-07714-XzbMath0873.53034OpenAlexW1985787863WikidataQ115240146 ScholiaQ115240146MaRDI QIDQ1895994

Xiaobo Liu

Publication date: 20 October 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07714-x

zbMATH Keywords

rigiditysubmanifoldsGauss mapGrassmann manifoldcompact Lie groupvolume-minimizing cycles

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (1)

Geometric structures associated with a simple Cartan 3-form

Cites Work

• On integral formulas for submanifolds of spaces of constant curvature and some applications
• Certain minimal or homologically volume minimizing submanifolds in compact symmetric spaces
• Calibrated geometries
• Uniqueness of certain 3-dimensional homologically volume minimizing submanifolds in compact simple Lie groups
• Semisimple subalgebras of semisimple Lie algebras
• Volume Minimizing Cycles in Compact Lie Groups
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