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초록· 키워드
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In this study, we have generalized pseudo-Finsler map by introducing the concept of semi-Riemannian map and have found pseudo-Finsler eikonal equations using pseudo-Finsler map. After that, we have obtained some sufficient theorems on pseudo-Finsler manifolds for the existence of solutions to the eikonal equation. At the same time, we have introduced a natural definition for the affine maps between pseudo-Finsler manifolds and have reached the affine solutions of them.
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참고문헌 (19)
참고문헌 신청
M. Abate / 1994 / Finsler Metrics-A Global Approach / Springer-Verlag
P.L. Antonelli / 2003 / Handbook of Finsler Geometry 2 / Kluwer Academic Publishers
A. Bejancu / 2000 / Geometry of Pseudo-Finsler Submanifolds / Kluwer Academic Publishers
J. K. Beem / 1999 / Indefinite Finsler spaces and timelike spaces / Cna. J. Math 22(5):1035~1039
J. K. Beem / 1976 / Characterizing Finsler spaces which are pseudo-Riemannian of constant curvature / Pasific J. Math 64:67~77
P.L. Antonelli / 2003 / Handbook of Finsler Geometry 2 / Kluwer Academic Publishers
A. Bejancu / 2000 / Geometry of Pseudo-Finsler Submanifolds / Kluwer Academic Publishers
J. K. Beem / 1999 / Indefinite Finsler spaces and timelike spaces / Cna. J. Math 22(5):1035~1039
J. K. Beem / 1976 / Characterizing Finsler spaces which are pseudo-Riemannian of constant curvature / Pasific J. Math 64:67~77
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