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5 results

  • A class of Hessian quotient equations in de Sitter space

  • Part of
  • Jinyu Gao, Guanghan Li, Kuicheng Ma
  • Journal:
    Canadian Mathematical Bulletin / Volume 67 / Issue 3 / September 2024
    Published online by Cambridge University Press:
    06 March 2024, pp. 805-821
    Print publication:
    September 2024
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  • In this paper, we consider the closed spacelike solution to a class of Hessian quotient equations in de Sitter space. Under mild assumptions, we obtain an existence result using standard degree theory based on a priori estimates.

  • COMPLETE SPACELIKE SUBMANIFOLDS IN DE SITTER SPACES WITH $R= aH+ b$

  • Part of
  • JIANCHENG LIU, JINGJING ZHANG
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 87 / Issue 3 / June 2013
    Published online by Cambridge University Press:
    13 February 2013, pp. 386-399
    Print publication:
    June 2013
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  • In this paper, we give a classification of spacelike submanifolds with parallel normalised mean curvature vector field and linear relation $R= aH+ b$ of the normalised scalar curvature $R$ and the mean curvature $H$ in the de Sitter space ${ S}_{p}^{n+ p} (c)$.

  • BIHARMONIC SUBMANIFOLDS IN NONFLAT LORENTZ 3-SPACE FORMS

  • Part of
  • TORU SASAHARA
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 85 / Issue 3 / June 2012
    Published online by Cambridge University Press:
    30 November 2011, pp. 422-432
    Print publication:
    June 2012
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  • The purpose of this paper is to classify nonharmonic biharmonic curves and surfaces in de Sitter 3-space and anti-de Sitter 3-space.