Randers metrics on CP2 |
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Authors: | Sabău Vasile Sorin |
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Affiliation: | 1. Hokkaido Tokai University, Sapporo, Japan
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Abstract: | The complex projective space CP2 is a classical example of Einstein metric in Riemannian geometry. Moreover, beside this property, it has other interesting geometrical properties: it is a symmetric space, and a C manifold. We would like to know whether there is an Einstein metric of Randers type on CP2 with similar properties. Based on some the generalization of Zermelo navigation problem for Finsler manifolds we construct such Randers metric on CP2 and study some of its geometrical properties. |
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