논문KCI 등재
A NOTE ON COMPACT ALMOST KÄHLER LOCALLY SYMMETRIC SPACES
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회논문집 (Communications of the KMS)|제27권 제1호|pp. 197-200
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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.
Abstract
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.
참고문헌 (5)
- A. Gray, "Curvature identities for Hermitian and almost Hermitian manifolds", Tohoku Math. J, 28(4), pp.601~612 (1976)
- N. Murakoshi, "Four-dimensional almost Kahler locally sym- metric spaces", Differential Geom. Appl, 6(3), pp.237~244 (1996)
- T. Oguro, "On almost Kahler manifolds of constant curvature", Tsukuba J. Math, 21(1), pp.199~206 (1997)
- T. Oguro, "On some compact almost Kahler locally symmetric spaces", Internat. J. Math. Math. Sci, 21(1), pp.69~72 (1998)
- K. Yano, "Differential Geometry on Complex and Almost Complex Spaces" (1965), Pergamon Press
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