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3 results

  • CONTACT METRIC THREE-MANIFOLDS WITH CONSTANT SCALAR TORSION

  • Part of
  • T. KOUFOGIORGOS, C. TSICHLIAS
  • Journal:
    Journal of the Australian Mathematical Society / Volume 107 / Issue 2 / October 2019
    Published online by Cambridge University Press:
    29 October 2018, pp. 234-255
    Print publication:
    October 2019
    • Article
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  • In this paper we study three-dimensional contact metric manifolds satisfying $\Vert \unicode[STIX]{x1D70F}\Vert =\text{constant}$. The local description, as well as several global results and new examples of such manifolds are given.

  • 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 ${ S}_{p}^{n+ p} (c)$.

  • DEFORMATIONS OF KODAIRA MANIFOLDS

  • GUEO GRANTCHAROV, COLIN McLAUGHLIN, HENRIK PEDERSEN, YAT SUN POON
  • Journal:
    Glasgow Mathematical Journal / Volume 46 / Issue 2 / May 2004
    Published online by Cambridge University Press:
    19 May 2004, pp. 259-281
    Print publication:
    May 2004
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  • Using compact simple Lie groups and Heisenberg groups, we combine and generalize the constructions of complex structures on Kodaira surfaces and Hopf surfaces. We identify locally complete parameter spaces of deformations of these spaces and analyze the deformation of Kodaira manifolds in details.