Commun. Korean Math. Soc. 2010; 25(3): 451-456
Printed September 1, 2010
https://doi.org/10.4134/CKMS.2010.25.3.451
Copyright © The Korean Mathematical Society.
Kwang-Soon Park
Seoul National University
In this paper, we construct explicitly K\"{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\"{a}hler metric, sectional curvature, minimal geodesic curve
MSC numbers: 53C55, 53C22
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