EXPLICIT EXAMPLES OF KÄHLER METRICS ON THE ELLIPSOIDS

Title & Authors
EXPLICIT EXAMPLES OF KÄHLER METRICS ON THE ELLIPSOIDS
Park, Kwang-Soon;

Abstract
In this paper, we construct explicitly K$\small{\ddot{a}}$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.
Keywords
K$\small{\ddot{a}}$hler metric;sectional curvature;minimal geodesic curve;
Language
English
Cited by
References
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K. S. Park, On the differentiability of a distance function, Publ. Inst. Math. (Beograd) (N.S.) 83(97) (2008), 65–69.

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