대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권1호
  • /
  • Pages.197-200
  • /
  • 2012
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON COMPACT ALMOST KÄHLER LOCALLY SYMMETRIC SPACES

  • Kim, Jae-Man (Department of Mathematics Education Kangwon National University)
  • 투고 : 2010.09.27
  • 발행 : 2012.01.31
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초록

Concerning the integrability of almost K$\ddot{a}$hler manifolds, we prove that a compact almost K$\ddot{a}$hler locally symmetric space is K$\ddot{a}$hler if the length of the star Ricci tensor is not smaller than that of the Ricci tensor.

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참고문헌

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  3. T. Oguro, On almost Kahler manifolds of constant curvature, Tsukuba J. Math. 21 (1997), no. 1, 199-206. https://doi.org/10.21099/tkbjm/1496163171
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  5. K. Yano, Differential Geometry on Complex and Almost Complex Spaces, New York, Pergamon Press, 1965.