Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator

Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator

We introduce the notion of generalized Tanaka-Webster connection for hypersurfaces in complex two-plane Grassmannians G2(Cm+2) and give a non-existence theorem for Hopf hypersurfaces in G2(Cm+2) with parallel shape operator in this connection.

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Veröffentlicht in:Kodai mathematical journal 2011, Vol.34 (3), p.352-366
Hauptverfasser: Jeong, Imsoon, Lee, Hyunjin, Suh, Young Jin
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container_title Kodai mathematical journal
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creator Jeong, Imsoon
Lee, Hyunjin
Suh, Young Jin
description We introduce the notion of generalized Tanaka-Webster connection for hypersurfaces in complex two-plane Grassmannians G2(Cm+2) and give a non-existence theorem for Hopf hypersurfaces in G2(Cm+2) with parallel shape operator in this connection.
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title Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator
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