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

George Kaimakamis, Konstantina Panagiotidou and Juan De Dios Pérez
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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

Mathematics, 2018, vol. 6, issue 5, 1-12

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 = ? A - A ? is given and three-dimensional real hypersurfaces in non-flat complex space forms whose tensor field P satisfies geometric conditions are classified.

Keywords: k-th generalized Tanaka–Webster connection; non-flat complex space form; real hypersurface; lie derivative; shape operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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