Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces

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• 作者：Juan de Dios Pé ; rez ^{jdperez@ugr.es}
• 关键词：53C15 ; 53B25
• 刊名：Differential Geometry and its Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：50
• 期：Complete
• 页码：1-10
• 全文大小：303 K
• 卷排序：50

文摘

On a real hypersurface M in a complex projective space we can consider the Levi-Civita connection and for any nonnull constant k the k-th g-Tanaka–Webster connection. Associated to g-Tanaka–Webster connection we can define a differential operator of first order. We classify real hypersurfaces such that both the Lie derivative and this differential operator, either in the direction of the structure vector field ξ or in any direction of the maximal holomorphic distribution coincide when we apply them to the structure Jacobi operator of M.