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For an isometric immersion f:M→[기호] of Finsler manifolds M into [기호], we compare the intrinsic Chern connection on M
and the induced connection on M.
We find the conditions for them to coincide
and generalize the equations of Gauss, Ricci and Codazzi to Finsler submanifolds.
In case the ambient space is a locally Minkowskian Finsler manifold, we simplify the above equations.
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참고문헌 (18)
참고문헌 신청
D. Bao / 1996 / On a notable connection in Finsler geometry / Houston J. Math 19 (1) : 135 ~ 180
D. Bao / 2000 / An introduction to Riemannian-Finsler geom-etry, Graduate Texts in Mathematics / Springer-Verlag
H. Akbar-Zadeh / 1968 / Sur les sous-varietes des varietes ?finslvarietes riennes / C. R.Acad. Sci 266 : A146 ~ A148
H. Rund / 1959 / The differential geometry of Finsler spaces, Die Grundlehren der Math-ematischen Wissenschaften, vol. 101 / Springer-Verlag
H. Rund / 1963 / Curvature properties of hypersurfaces of Finsler Minkowskian spaces / Tensor, N.S 14 : 226 ~ 244
D. Bao / 2000 / An introduction to Riemannian-Finsler geom-etry, Graduate Texts in Mathematics / Springer-Verlag
H. Akbar-Zadeh / 1968 / Sur les sous-varietes des varietes ?finslvarietes riennes / C. R.Acad. Sci 266 : A146 ~ A148
H. Rund / 1959 / The differential geometry of Finsler spaces, Die Grundlehren der Math-ematischen Wissenschaften, vol. 101 / Springer-Verlag
H. Rund / 1963 / Curvature properties of hypersurfaces of Finsler Minkowskian spaces / Tensor, N.S 14 : 226 ~ 244
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