Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

• Autorzy: Konstantina Panagiotidou , Juan de Dios Pérez
• Języki publikacji: EN

Abstrakty

EN

In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified. Furthermore, it is proved that the only three dimensional real hypersurfaces in non-flat complex space forms, whose k-th Cho operator with respect to any vector field X orthogonal to structure vector field commutes with the structure Jacobi operator, are the ruled ones. Finally, results concerning real hypersurfaces in complex hyperbolic space satisfying the above conditions are also provided.

Słowa kluczowe

EN

Real hypersurfaces; Structure Jacobi operator; Cho operator; Non-flat complex space forms

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53D15: Almost contact and almost symplectic manifolds
• 53C40: Global submanifolds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-11-19

zaakceptowano

2015-04-01

online

2015-05-19

Twórcy

autor

Konstantina Panagiotidou

• Faculty of Engineering, Aristotle University of Thessaloniki, Thessaloniki
  54124, Greece

autor

Juan de Dios Pérez

• Departmento de Geometria y Topologia, Universidad de Granada, 18071, Granada, Spain

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0032