논문KCI 등재
Projective Change between Two Finsler Spaces with (α,β)-metric
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In the present paper, we find the conditions to characterize projective change between two (α,β)-metrics, such as Matsumoto metric L = α2 α−βand Randers metric¯L = ¯ α +¯β on a manifold with dim n > 2, where α and ¯ α are two Riemannian metrics, β and¯β are two non-zero 1-forms.
Abstract
In the present paper, we find the conditions to characterize projective change between two (α,β)-metrics, such as Matsumoto metric L = α2 α−βand Randers metric¯L = ¯ α +¯β on a manifold with dim n > 2, where α and ¯ α are two Riemannian metrics, β and¯β are two non-zero 1-forms.
참고문헌 (16)
- P. L. Antonelli, "The Theory of sprays and Finsler spaces with applications in Physics and Biology" (1985), Kluwer academic publishers
- S. Bacso, "Projective change between Finsler spaces with (α; β)- metric", Tensor N.S., 55, pp.252~257 (1994)
- M. Matsumoto, "Foundations of Finsler geometry and special Finsler spaces" (1986), Kaiseisha press
- S. K. Narasimhamurthy, "On a hypersurface of a special Finsler space with a metric L = α + β + α2", β, 2010, pp.9(1), 36~44
- Ningwei Cui, "Projective change between two classes of (α; β)- metrics", Diff. Geom. and its Applications, 27, pp.566~573 (2009)
- H. S. Park, "On projectively flat Finsler spaces with (α; β)-metric", Comm. Korean Math. Soc., 14(2), pp.373~383 (1999)
- H. S. Park, "The Randers changes of Finsler spaces with (α; β)-metrics of Douglas type", J. Korean Math. Soc., 38(3), pp.503~521 (2001)
- H. S. Park, "Projective changes between a Finsler space with (α; β)-metric and the associated Riemannian metric", Canad. J. Math., 60, pp.443~456 (2008)
- Pradeep Kumar, "On a special hypersurface of a Finsler space with (α; β)-metric", Tbilisi Mathematical Journal, 2, pp.51~60 (2009)
- B. N. Prasad, "Conformal transformation in Finsler spaces with (α; β)-metric", Indian J. Pure and Appl. Math., 18(4), pp.290~301 (1961)
- A. Rapsak, "Uber die bahntreuen Abbildungen metrisher Raume", Publ. Math. Debre- cen., 8, pp.285~290 (1961)
- H. Rund, "The differential geometry of Finsler spaces" (1959), Springer-Verlag
- Z. Shen, "On Landsberg (α; β)-metrics", ~ (2006)
- Z. Shen, "On a class of projectively flat metrics with constant flag curvature", Canad. J. Math., 60, pp.443~456 (2008)
- C. Shibata, "On Finsler spaces with an (α; β)-metric", J. Hokkaido Univ. of Education, IIA, 35, pp.1~6 (1984)
- H. Shimada, "Introduction to Matsumoto metric", Nonlinear Analysis, 63, pp.165~168 (2005)
관련 논문AI추천
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