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Spectral characterizations of veronese surface in S 4

  • Applied Mathematics And Mechanics
  • Published:
Journal of Shanghai University (English Edition)

Abstract

In this paper, we prove that the Veronese surface can be determined by the 1-spectrum of the Laplace operator.

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References

  1. Zhou Z. R., Spectral characterizations of Clifford minimal hypersurfaces, J. Northeast Math.,1997,13(1): 27–32

    MATH  Google Scholar 

  2. Zhou Z. R., The spectral characterizations of some minimal submanifolds of a sphere, Chinese Quart. J. Math., 1994, 9(3): 21–25

    MATH  Google Scholar 

  3. Qu C. Q., Ouyang C. Z., On the spectrum of the Laplacian operators on minimal submanifolds, J. of Math. Reserch & Exposition, 1996, 3(16): 359–367

    MathSciNet  Google Scholar 

  4. Chern S. S., Carmo M. Do., Kobayshi S., Minimal submanifolds of a sphere with second fundamental form of constant length, Funt. Anal. & Rel. Fields, 1970: 59–75

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Cite this article

Zheng, Ya., Yu, F. & Liu, Yr. Spectral characterizations of veronese surface in S 4 . J. of Shanghai Univ. 5, 29–30 (2001). https://doi.org/10.1007/s11741-001-0022-8

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  • DOI: https://doi.org/10.1007/s11741-001-0022-8

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