Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type

• Autorzy: Carlos Machado , Juan Dios Pérez , Imsoon Jeong , Young Suh
• Języki publikacji: EN

Abstrakty

EN

We prove the non-existence of real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type.

Słowa kluczowe

EN

Real hypersurfaces; Complex two-plane Grassmannians; Normal Jacobi operator; Codazzi type

Kategorie tematyczne

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

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 3
• Strony: 578-582

Daty

wydano

2011-06-01

online

2011-03-22

Twórcy

autor

Carlos Machado

• Universidad de Granada

autor

Juan Dios Pérez

• Universidad de Granada

autor

Imsoon Jeong

• Kyungpook National University

autor

Young Suh

• Kyungpook National University

Bibliografia

• [1] Alekseevskii D.V., Compact quaternion space, Funct. Anal. Appl., 1968, 2(2), 106–114 http://dx.doi.org/10.1007/BF01075944
• [2] Berndt J., Console S., Olmos C., Submanifolds and Holonomy, Chapman Hall/CRC Res. Notes Math., 434, Chapman & Hall/CRC, Boca Raton, 2003 http://dx.doi.org/10.1201/9780203499153
• [3] Berndt J., Suh Y.J., Real hypersurfaces in complex two-plane Grassmannians, Monatsh. Math., 1999, 127(1), 1–14 http://dx.doi.org/10.1007/s006050050018
• [4] Berndt J., Suh Y.J., Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians, Monatsh. Math., 2002, 137(2), 87–98 http://dx.doi.org/10.1007/s00605-001-0494-4
• [5] Jeong I., Kim H.J., Suh Y.J., Real hypersurfaces in complex two-plane Grassmannians with parallel normal Jacobi operator, Publ. Math. Debrecen, 2010, 76(1–2), 203–218
• [6] Kimura M., Real hypersurfaces and complex submanifolds in complex projective space, Trans. Amer. Math. Soc., 1986, 296(1), 137–149 http://dx.doi.org/10.1090/S0002-9947-1986-0837803-2
• [7] Martínez A., Pérez J.D., Real hypersurfaces in quaternionic projective space, Ann. Mat. Pura Appl., 1986, 145(1), 355–384 http://dx.doi.org/10.1007/BF01790548

Identyfikatory

DOI

10.2478/s11533-011-0022-2