Abstract

It is known that submanifolds in Kaehler manifolds have many kinds of connections. Among them, we consider two connections, that is, Levi-Civita and Tanaka–Webster connections for real hypersurfaces in complex two-plane Grassmannians \(G_2({\mathbb C}^{m+2})\). When they are equal to each other, we give some characterizations in \(G_2({\mathbb C}^{m+2})\).

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