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Volumn 143, Issue 2, 1996, Pages 233-252

A note on the Gauss-Bonnet theorem for Finsler spaces

(2)  Bao, David a   Chern, S S a  

a NONE

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EID: 0030540325     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2118643     Document Type: Article
Times cited : (44)

References (31)
  • 2
    • 84966247266 scopus 로고
    • The Gauss-Bonnet theorem for Riemannian polyhedra
    • C. B. Allendoerfer and A. Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101-129.
    • (1943) Trans. Amer. Math. Soc. , vol.53 , pp. 101-129
    • Allendoerfer, C.B.1    Weil, A.2
  • 3
    • 0001484238 scopus 로고
    • On a notable connection in Finsler geometry
    • D. Bao and S. S. Chern, On a notable connection in Finsler geometry, Houston J. Math. 19 (1993), 135-180.
    • (1993) Houston J. Math. , vol.19 , pp. 135-180
    • Bao, D.1    Chern, S.S.2
  • 5
    • 0344029922 scopus 로고
    • On the volume of unit tangent spheres in a Finsler manifold
    • D. Bao and Z. Shen, On the volume of unit tangent spheres in a Finsler manifold, Results in Math. 26 (1994), 1-17.
    • (1994) Results in Math. , vol.26 , pp. 1-17
    • Bao, D.1    Shen, Z.2
  • 6
    • 0039112107 scopus 로고
    • Generalizations of geodesic curvature and a theorem of Gauss concerning geodesic triangles
    • G. A. Bliss, Generalizations of geodesic curvature and a theorem of Gauss concerning geodesic triangles, Amer. J. Math. 37 (1915), 1-18.
    • (1915) Amer. J. Math. , vol.37 , pp. 1-18
    • Bliss, G.A.1
  • 7
    • 84963057120 scopus 로고
    • A theorem on homogeneous functions
    • F. Brickell, A theorem on homogeneous functions, J. London Math. Soc. 42 (1967), 325-329.
    • (1967) J. London Math. Soc. , vol.42 , pp. 325-329
    • Brickell, F.1
  • 8
    • 0040296172 scopus 로고
    • Angular measure and integral curvature
    • H. Busemann, Angular measure and integral curvature, Canadian J. Math. 1 (1949), 279-296.
    • (1949) Canadian J. Math. , vol.1 , pp. 279-296
    • Busemann, H.1
  • 9
    • 0040296173 scopus 로고
    • On geodesic curvature in two dimensional Finsler spaces
    • _, On geodesic curvature in two dimensional Finsler spaces, Ann. Mat. Pura Appl. 31 (1950), 281-295.
    • (1950) Ann. Mat. Pura Appl. , vol.31 , pp. 281-295
  • 11
    • 0001036635 scopus 로고
    • A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemarinian manifolds
    • S. S. Chern, A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemarinian manifolds, Ann. Math. 45 (1944), 747-752.
    • (1944) Ann. Math. , vol.45 , pp. 747-752
    • Chern, S.S.1
  • 12
    • 0000111711 scopus 로고
    • On the curvatura integra in a Riemannian manifold
    • _, On the curvatura integra in a Riemannian manifold, Ann. Math. 46 (1945), 674-684.
    • (1945) Ann. Math. , vol.46 , pp. 674-684
  • 13
    • 0002078004 scopus 로고
    • Local equivalence and Euclidean connections in Finsler spaces
    • _, Local equivalence and Euclidean connections in Finsler spaces, Sci. Rep. Nat. Tsing Hua Univ. Ser. A 5 (1948), 95-121; or Selected Papers, vol. II, 194-212, Springer-Verlag, New York, 1989.
    • (1948) Sci. Rep. Nat. Tsing Hua Univ. Ser. A , vol.5 , pp. 95-121
  • 14
    • 0040694106 scopus 로고
    • Springer-Verlag, New York
    • _, Local equivalence and Euclidean connections in Finsler spaces, Sci. Rep. Nat. Tsing Hua Univ. Ser. A 5 (1948), 95-121; or Selected Papers, vol. II, 194-212, Springer-Verlag, New York, 1989.
    • (1989) Selected Papers , vol.2 , pp. 194-212
  • 15
    • 25144500321 scopus 로고
    • Historical remarks on Gauss-Bonnet
    • volume dedicated to Jürgen Moser, Academic Press
    • _, Historical remarks on Gauss-Bonnet, In Analysis et Cetera, volume dedicated to Jürgen Moser, 209-217, Academic Press, 1990.
    • (1990) Analysis et Cetera , pp. 209-217
  • 16
    • 0012413348 scopus 로고
    • Tores Finslériens sans points conjugués
    • P. Dazord, Tores Finslériens sans points conjugués, Bull. Soc. Math. France 99 (1971), 171-192.
    • (1971) Bull. Soc. Math. France , vol.99 , pp. 171-192
    • Dazord, P.1
  • 17
    • 0039112104 scopus 로고
    • Quelques problèmes métriques de la géométrie de Minkowski
    • S. Golab, Quelques problèmes métriques de la géométrie de Minkowski, Trav. Acad. Mines Cracovie Fasc. 6 (1932), 1-79.
    • (1932) Trav. Acad. Mines Cracovie Fasc. , vol.6 , pp. 1-79
    • Golab, S.1
  • 18
    • 84916697553 scopus 로고
    • On Finsler spaces with vanishing second curvature tensor
    • N.S.
    • H. Kawaguchi, On Finsler spaces with vanishing second curvature tensor, Tensor, N.S. 26, (1972), 250-254.
    • (1972) Tensor , vol.26 , pp. 250-254
    • Kawaguchi, H.1
  • 19
    • 51249193783 scopus 로고
    • Quelques théorèmes de géométrie différentielle globale
    • A. Lichnerowicz, Quelques théorèmes de géométrie différentielle globale, Comm. Math. Helv. 22 (1949), 271-301.
    • (1949) Comm. Math. Helv. , vol.22 , pp. 271-301
    • Lichnerowicz, A.1
  • 20
    • 0039704234 scopus 로고    scopus 로고
    • private communication
    • B. Lackey, private communication.
    • Lackey, B.1
  • 21
    • 0040890296 scopus 로고
    • Zur differentialgeometrie der hyperflächen in vektorräumen und zur affingeometrischen deutung der theorie der Finslerräume
    • D. Laugwitz, Zur differentialgeometrie der hyperflächen in vektorräumen und zur affingeometrischen deutung der theorie der Finslerräume, Math. Z. 67 (1957), 63-74.
    • (1957) Math. Z. , vol.67 , pp. 63-74
    • Laugwitz, D.1
  • 27
    • 0040890295 scopus 로고
    • A divergence theorem for Finsler metrics
    • _, A divergence theorem for Finsler metrics, Monatsh. Math. 79 (1975), 233-252.
    • (1975) Monatsh. Math. , vol.79 , pp. 233-252
  • 30
    • 0002382588 scopus 로고
    • Positive definite Berwald spaces (Structure theorems on Berwald spaces)
    • N.S.
    • Z. I. Szabó, Positive definite Berwald spaces (Structure theorems on Berwald spaces), Tensor, N.S. 35 (1981), 25-39.
    • (1981) Tensor , vol.35 , pp. 25-39
    • Szabó, Z.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.