Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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EXPLICIT EXAMPLES OF KÄHLER METRICS ON THE ELLIPSOIDS

  • Received : 2009.06.19
  • Published : 2010.07.31
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Abstract

In this paper, we construct explicitly K$\ddot{a}$hler metrics on the ellipsoids and calculate their sectional curvatures. Using MAPLE [3], we obtain some geodesic curves on an ellipsoid so that if some conditions are dropped in Question 2.1 [4], then Question 2.1 is not true.

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References

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  5. G. Tian, Canonical Metrics in Kahler Geometry, Birkhauser Verlag, 2000.