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Comparison of Differential Operators with Lie Derivative of Three-Dimensional Real Hypersurfaces in Non-Flat Complex Space Forms

Author

Listed:
  • George Kaimakamis

    (Faculty of Mathematics and Engineering Sciences, Hellenic Army Academy, Varia, 16673 Attiki, Greece)

  • Konstantina Panagiotidou

    (Faculty of Mathematics and Engineering Sciences, Hellenic Army Academy, Varia, 16673 Attiki, Greece)

  • Juan De Dios Pérez

    (Departamento de Geometria y Topologia, Universidad de Granada, 18071 Granada, Spain)

Abstract

In this paper, three-dimensional real hypersurfaces in non-flat complex space forms, whose shape operator satisfies a geometric condition, are studied. Moreover, the tensor field P = ϕ A - A ϕ is given and three-dimensional real hypersurfaces in non-flat complex space forms whose tensor field P satisfies geometric conditions are classified.

Suggested Citation

  • George Kaimakamis & Konstantina Panagiotidou & Juan De Dios Pérez, 2018. "Comparison of Differential Operators with Lie Derivative of Three-Dimensional Real Hypersurfaces in Non-Flat Complex Space Forms," Mathematics, MDPI, vol. 6(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:5:p:84-:d:148030
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