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Cho Operators on Real Hypersurfaces in Complex Projective Space

  • Juan de Dios Pérez
  • Young Jin Suh
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)

Abstract

Let M be a real hypersurface in complex projective space. On M we have the Levi-Civita connection and for any nonzero constant k the corresponding generalized Tanaka-Webster connection. For such a k and any vector field X tangent to M we can define from both connections the kth Cho operator F X (k). We study commutativity properties of these operators with the shape operator and the structure Jacobi operator on M obtaining some characterizations of either Type (A) real hypersurfaces or ruled real hypersurfaces.

Keywords

Vector Field Real Hypersurface Shape Operator Complex Projective Space Jacobi Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work was supported by grant Proj. No. NRF-2011-220-C00002 from National Research Foundation of Korea.

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Departamento de Geometría y TopologíaUniversidad de GranadaGranadaSpain
  2. 2.Department of MathematicsKyungpook National UniversityDaeguKorea

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