Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator

• Autores: Jong Taek Cho, U-Hang Ki
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 51, Nº 3, 2008, págs. 359-371
• Idioma: inglés
• DOI: 10.4153/cmb-2008-036-7
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• Resumen

  • Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type (A) in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator.