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Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2010> 19(4): 487-490
ZHANG Feng-yun, ZHAO Yan, SUN Hua-fei. Manifolds with Special Commuting Jacobi Operators[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2010, 19(4): 487-490.
Citation: ZHANG Feng-yun, ZHAO Yan, SUN Hua-fei. Manifolds with Special Commuting Jacobi Operators[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2010, 19(4): 487-490.
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Manifolds with Special Commuting Jacobi Operators

  • 1.

    School of Science, Beijing Institute of Technology, Beijing 100081, China

  • 2.

    Henan Light Industry School, Zhengzhou 450006, China

  • Received Date:2009-04-03
    Abstract
  • For a Riemannian manifold (Mn,g)with curvature tensor R, the Jacobi operator J(X)is give. In this paper, the flat Riemannian manifolds are characterized in terms of special commutation properties of their Jacobi operators.
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    • References (5)
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    Tsankov Y. A characterization of n-dimensional hypersurface in Rn+1with commuting curvature operators[J]. Banach Center Publ, 2005, 69:205-209.
    [2]
    Vazquez-M Brozos, Gilkey P. Manifolds with commuting Jacobi operators[J]. J Gometry, 2007, 86:21-30.
    [3]
    Chi Q S. A curvature characterization of certain locally rank-one symmetric spaces[J]. J Differ-entail Geom, 1988, 28:187-202.
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    Nikolayevsky Y. Two theorems on Osserman manifolds[J]. Diff Geom Appl, 2003,18:239-253.
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    Nikolayevsky Y. Osserman manifolds of dimension 8[J]. Manuscr Math, 2004,115: 31-53.
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