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EXPLICIT EXAMPLES OF KÄHLER METRICS ON THE ELLIPSOIDS
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 Title & Authors
EXPLICIT EXAMPLES OF KÄHLER METRICS ON THE ELLIPSOIDS
Park, Kwang-Soon;
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 Abstract
In this paper, we construct explicitly Khler 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
Khler metric;sectional curvature;minimal geodesic curve;
 Language
English
 Cited by
 References
1.
P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.

2.
D. D. Joyce, Compact Manifolds with Special Holonomy, Oxford University Press, Oxford, 2000.

3.
J. Oprea, Differential Geometry and its Applications, Prentice-Hall, Inc, 1997.

4.
K. S. Park, On the differentiability of a distance function, Publ. Inst. Math. (Beograd) (N.S.) 83(97) (2008), 65–69. crossref(new window)

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