Skip to main content Accessibility help
×
Home

Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space

  • Juan de Dios Pérez (a1) and Young Jin Suh (a2)

Abstract

We classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies two conditions at the same time.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space
      Available formats
      ×

Copyright

References

Hide All
[1] Baikoussis, C., A characterization of real hypersurfaces in complex space forms in terms of the Ricci tensor. Canad. Math. Bull. 40(1997), 257265. doi:10.4153/CMB-1997-031-5
[2] Cecil, T. E. and Ryan, P. J., Focal sets and real hypersurfaces in complex projective space. Trans. Amer. Math. Soc. 269(1982), 481499.
[3] Ki, U-H. and Suh, Y. J., On a characterization of real hypersurfaces of type A in a complex space form. Canad. Math. Bull. 37(1994), 238244. doi:10.4153/CMB-1994-035-8
[4] Kimura, M., Sectional curvatures of holomorphic planes on a real hypersurface in Pn (ℂ) . Math. Ann. 276(1987), 487497. doi:10.1007/BF01450843
[5] Lee, H. J., de Dios Pérez, J., Santos, F. G., and Suh, Y. J., On the structure Jacobi operator of a real hypersurface in complex projective space. Monatsh. Math. 158(2009), no. 2, 187194. doi:10.1007/s00605-008-0025-7
[6] Okumura, M., On some real hypersurfaces of a complex projective space. Trans. Amer. Math. Soc. 212(1975), 355364. doi:10.1090/S0002-9947-1975-0377787-X
[7] Suh, Y. J., A characterization of ruled real hypersurfaces in Pn(C) . J. Korean Math. Soc. 29(1992), 351359.
[8] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures. J. Math. Soc. Japan 27(1975), 4353. doi:10.2969/jmsj/02710043
[9] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures II. J. Math. Soc. Japan 27(1975), 507516. doi:10.2969/jmsj/02740507
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Keywords

Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space

  • Juan de Dios Pérez (a1) and Young Jin Suh (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed