New Conditions on Normal Jacobi Operator of Real Hypersurfaces in the Complex Quadric

초록

On a real hypersurface M of a complex quadric we have an almost contact metric structure induced by the Kahlerian structure of the ambient space. Therefore, on M we have the Levi-Civita connection del and, for any non-null real number k, the so called kth generalized Tanaka Webster connection (del) over cap ((k)). We introduce the notions of((del) over cap ((k)), del)-Codazzi and ((del) over cap ((k)), del)-Killing normal Jacobi operator on such a real hypersurface and classify Hopf real hypersurface in a complex quadric whose normal Jacobi operators satisfy any of both conditions.

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