논문KCI 등재
THE FUNDAMENTAL FORMULAS OF FINSLER SUBMANIFOLDS
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Let : (Mn, F) → (M n+p , F) be an isometric immersion from a Finsler manifold to a Finsler manifold. In this paper, we shall obtain the Gauss and Codazzi equations with respect to the Chern connection on submanifolds M, by which we prove that if M is a weakly totally geodesic submanifold of M→ then flag curvature of M equals flag curvature of M.
Abstract
Let : (Mn, F) → (M n+p , F) be an isometric immersion from a Finsler manifold to a Finsler manifold. In this paper, we shall obtain the Gauss and Codazzi equations with respect to the Chern connection on submanifolds M, by which we prove that if M is a weakly totally geodesic submanifold of M→ then flag curvature of M equals flag curvature of M.
참고문헌 (4)
- D. Bao, "On a notable connection in Finsler geometry", Houston J. Math., 19(1), pp.135~180 (1993)
- D. Bao, "An Introduction to Riemann-Finsler Geometry" (2000), Springer-Verlag
- A. Bejancu, "Structure equations for Riemann-Finsler subspaces", C. R. Acad. Bulgare Sci., 40(1), pp.37~40 (1987)
- Z. Shen, "On Finsler geometry of submanifolds", Math. Ann., 311(3), pp.549~576 (1998)
관련 논문AI추천
ISOMETRIC IMMERSIONS OF FINSLER MANIFOLDS원대연, 이난이강원경기수학회 · 한국수학논문집2009 · 제17권 제1호OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONS윤대원, 이재원, 이철우, Gabriel-Eduard Vilcu대한수학회 · 대한수학회보2015 · 제52권 제5호SEMI-RIEMANNIAN SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTIONAhmet Yucesan, Erol Yasar대한수학회 · 대한수학회논문집2012 · 제27권 제4호On the geometry of biconservative submanifolds in pseudo-Riemannian space formsLi Du, Tian Nie대한수학회 · 대한수학회보2025 · 제62권 제3호Ricci curvature of submanifolds of an S-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathi대한수학회 · 대한수학회보2009 · 제46권 제5호Dually flat and projectively flat Finsler warped product structuresLili Zhao, Xiaoling Zhang, Xuesong Zhang대한수학회 · 대한수학회보2022 · 제59권 제6호
이 간행물의 다른 논문 (17건)
MODULE EXTENSION OF DUAL BANACH ALGEBRASMadjid Eshaghi Gordji, Fereydoun Habibianpp. 663-673TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEMKaleem Raza Kazmi, Faizan Ahmad Khan, Mohammad Shahzapp. 675-685ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEXAlessio Russopp. 687-691INVERSE POLYNOMIAL MODULES INDUCED BY AN R-LINEAR MAP정진선, 박상원pp. 693-699GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS진대호pp. 701-714