A rigidity theorem of ξ -submanifolds in C 2

A rigidity theorem of ξ -submanifolds in C 2

In this paper, we first introduce the concept of ξ -submanifold which is a natural generalization of self-shrinkers for the mean curvature flow and also an extension of λ -hypersurfaces to the higher codimension. Then, as the main result, we prove a rigidity theorem for Lagrangian ξ -submanifold in...

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Veröffentlicht in:Geometriae dedicata 2016-01, Vol.185 (1), p.155-169
Hauptverfasser: Li, Xingxiao, Chang, Xiufen
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Geometry
Manifolds (mathematics)
Rigidity
Theorems
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Beschreibung
Zusammenfassung:In this paper, we first introduce the concept of ξ -submanifold which is a natural generalization of self-shrinkers for the mean curvature flow and also an extension of λ -hypersurfaces to the higher codimension. Then, as the main result, we prove a rigidity theorem for Lagrangian ξ -submanifold in the complex 2-plane C 2 .
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-016-0173-1