Korean Journal of Mathematics
- Volume 14 Issue 1
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- Pages.79-83
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- 2006
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
ZERMELO'S NAVIGATION PROBLEM ON HERMITIAN MANIFOLDS
Abstract
In this paper, we apply Zermelo's problem of navigation on Riemannian manifolds to Hermitian manifolds. Using a similar technique with which we define a Randers metric in a Finsler manifold by perturbing Riemannian metric with a vector field, we construct an
Keywords
- Finsler metric;
- generalized Randers metric;
- (a,b,f)-metric;
- Rizza manifold;
- Zermelo's navigation problem