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Hypersurfaces with Two Distinct Para-Blaschke Eigenvalues in

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  • Junfeng Chen
  • Shichang Shu

Abstract

Let be an -dimensional immersed hypersurface without umbilical points and with vanishing Möbius form in a unit sphere , and let and be the Blaschke tensor and the Möbius second fundamental form of , respectively. We define a symmetric tensor which is called the para-Blaschke tensor of , where is a constant. An eigenvalue of the para-Blaschke tensor is called a para-Blaschke eigenvalue of . The aim of this paper is to classify the oriented hypersurfaces in with two distinct para-Blaschke eigenvalues under some rigidity conditions.

Suggested Citation

  • Junfeng Chen & Shichang Shu, 2014. "Hypersurfaces with Two Distinct Para-Blaschke Eigenvalues in," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-10, April.
    • Handle: RePEc:hin:jijmms:398746
    DOI: 10.1155/2014/398746
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