[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.3.451

EXPLICIT EXAMPLES OF KÄHLER METRICS ON THE ELLIPSOIDS

Park, Kwang-Soon (DEPARTMENT OF MATHEMATICAL SCIENCES SEOUL NATIONAL UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.3, 2010 , pp. 451-456 More about this Journal

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.

Keywords

K $\ddot{a}$ hler metric; sectional curvature; minimal geodesic curve;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	D. D. Joyce, Compact Manifolds with Special Holonomy, Oxford University Press, Oxford, 2000.
2	J. Oprea, Differential Geometry and its Applications, Prentice-Hall, Inc, 1997.
3	K. S. Park, On the differentiability of a distance function, Publ. Inst. Math. (Beograd) (N.S.) 83(97) (2008), 65–69. DOI
4	G. Tian, Canonical Metrics in Kahler Geometry, Birkhauser Verlag, 2000.
5	P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.