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New York Journal of Mathematics
Volumn 12, Issue , 2006, Pages 143-155
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two
Author keywords

Cayley Klein geometries; Gauss Bonnet theorem
Indexed keywords

EID: 33746216264     PISSN: 10769803     EISSN: 10769803     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)
References (10)
  • 1
    • 0039020528 scopus 로고
    • The Gauss-Bonnet theorem for 2-dimensional space-times
    • MR0736471 (85g:53073), Zbl 0591.53053
    • Birman, Graciela S.; Nomizu, Katsumi. The Gauss-Bonnet theorem for 2-dimensional space-times. Michigan Math. J. 31 (1984), 77-81. MR0736471 (85g:53073), Zbl 0591.53053.
    • (1984) Michigan Math. J. , vol.31 , pp. 77-81
    • Birman, G.S.1    Nomizu, K.2
  • 2
    • 0040798763 scopus 로고
    • Gauss-Bonnet formula for general Lorentzian surfaces
    • MR0739926 (85k:53059), Zbl 0535.53051
    • Dzan, Jin Jee. Gauss-Bonnet formula for general Lorentzian surfaces. Geometriae Dedicata 15 (1984), no. 3, 215-231. MR0739926 (85k:53059), Zbl 0535.53051.
    • (1984) Geometriae Dedicata , vol.15 , Issue.3 , pp. 215-231
    • Dzan, J.J.1
  • 3
    • 84972492377 scopus 로고
    • A relativistic version of the Gauss-Bonnet formula
    • MR0348686 (50 #1183), Zbl 03.1.8.53017
    • Helzer, Garry. A relativistic version of the Gauss-Bonnet formula. J. Differential Geom. 9 (1974), 507-512. MR0348686 (50 #1183), Zbl 03.1.8.53017.
    • (1974) J. Differential Geom. , vol.9 , pp. 507-512
    • Helzer, G.1
  • 5
    • 0034705244 scopus 로고    scopus 로고
    • Trigonometry of spacetimes: A new self-dual approach to a curvature/signature (in)dependent trigonometry
    • MR1768742 (2001k:53099), Zbl 0965.53049
    • Herranz, Francisco J.; Ortega, Ramón; Santander, Mariano. Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry. J. Physics A 33 (2000), 4525-4551, MR1768742 (2001k:53099), Zbl 0965.53049.
    • (2000) J. Physics A , vol.33 , pp. 4525-4551
    • Herranz, F.J.1    Ortega, R.2    Santander, M.3
  • 6
    • 0037047630 scopus 로고    scopus 로고
    • Conformal symmetries of spacetimes
    • MR1928851 (2004a:53091), Zbl 1039.53075
    • Herranz, Francisco J.; Santander, Mariano. Conformal symmetries of spacetimes. J. Physics A 35 (2002), 6601-6618. MR1928851 (2004a:53091), Zbl 1039.53075.
    • (2002) J. Physics A , vol.35 , pp. 6601-6618
    • Herranz, F.J.1    Santander, M.2
  • 7
    • 0040204525 scopus 로고
    • Neutral geometry and the Gauss-Bonnet theorem for two-dimensional pseudo-Riemannian manifolds
    • MR1201099 (94b:53103), Zbl 0772.53042
    • Law, Peter R. Neutral geometry and the Gauss-Bonnet theorem for two-dimensional pseudo-Riemannian manifolds. Rocky Mountain J. Math. 22 (1992), no. 4, 1365-1383. MR1201099 (94b:53103), Zbl 0772.53042.
    • (1992) Rocky Mountain J. Math. , vol.22 , Issue.4 , pp. 1365-1383
    • Law, P.R.1
  • 8
    • 33746203779 scopus 로고    scopus 로고
    • Trigonometry of 'complex Hermitian' type homogeneous symmetric spaces
    • MR1768742 (2001k:53099), Zbl 0965.53049
    • Ortega, Ramón; Santander, Mariano. Trigonometry of 'complex Hermitian' type homogeneous symmetric spaces. J. Physics A 33 (2000), 4525-4551. MR1768742 (2001k:53099), Zbl 0965.53049.
    • (2000) J. Physics A , vol.33 , pp. 4525-4551
    • Ortega, R.1    Santander, M.2
  • 9
    • 85100829558 scopus 로고
    • A comprehensive introduction to differential geometry
    • MR0532832 (82g:53003c), Zbl 0439.53003
    • Spivak, Michael. A comprehensive introduction to differential geometry, vol. III. Publish or Perish, Inc., Boston, Massachusetts, 1975, MR0532832 (82g:53003c), Zbl 0439.53003.
    • (1975) Publish or Perish, Inc., Boston, Massachusetts , vol.3
    • Spivak, M.1
  • 10
    • 33746231734 scopus 로고
    • A simple non-Euclidean geometry and its physical basis. An elementary account of Galilean geometry and the Galilean principle of relativity
    • Heidelberg Science Library. Translated from the Russian by Abe Shenitzer. With the editorial assistance of Basil Gordon MR0520230 (80c:51007), Zbl 0393.51013
    • Yaglom, I. M. A simple non-Euclidean geometry and its physical basis. An elementary account of Galilean geometry and the Galilean principle of relativity. Heidelberg Science Library. Translated from the Russian by Abe Shenitzer. With the editorial assistance of Basil Gordon. Springer-Verlag, New York-Heidelberg, 1979, MR0520230 (80c:51007), Zbl 0393.51013.
    • (1979) Springer-Verlag, New York-Heidelberg
    • Yaglom, I.M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.