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2 results

  • Yamabe Solitons and Ricci Solitons on Almost co-Kähler Manifolds

  • Part of
  • Young Jin Suh, Uday Chand De
  • Journal:
    Canadian Mathematical Bulletin / Volume 62 / Issue 3 / September 2019
    Published online by Cambridge University Press:
    07 May 2019, pp. 653-661
    Print publication:
    September 2019
    • Article
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  • The object of this paper is to study Yamabe solitons on almost co-Kähler manifolds as well as on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds. We also study Ricci solitons on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds.

  • A NEW RESULT ABOUT ALMOST UMBILICAL HYPERSURFACES OF REAL SPACE FORMS

  • Part of
  • JULIEN ROTH
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 91 / Issue 1 / February 2015
    Published online by Cambridge University Press:
    14 October 2014, pp. 145-154
    Print publication:
    February 2015
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  • In this short note, we prove that an almost umbilical compact hypersurface of a real space form with almost Codazzi umbilicity tensor is embedded, diffeomorphic and quasi-isometric to a round sphere. Then, we derive a new characterisation of geodesic spheres in space forms.