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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We defined and studied a naturally extended hyperbolic space(see [1] and [2]). In this study, we describe Sforza’s formula [7] and San-tal´o’s formula [6], which were rediscovered and later discussed by manymathematicians (Milnor [4], Su´arez-Peir´o [8], J. Murakami and Ushijima[5], and Mednykh [3]) in the spherical space in an elementary way. There-after, using the extended hyperbolic space, we apply the same method toprove their results in the hyperbolic space.
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참고문헌 (8)
참고문헌 신청
A. D. Mednykh / 2005 / Hyperbolic and spherical volume for knots, links and polyhedra / Summer school and conference on Geometry and Topology of 3-manifolds : 6 ~ 24
E. Su´arez-Peir´o / 2000 / A Schl¨afli differential formula for simplices in semi-Riemannian hyperquadrics, Gauss-Bonnet formulas for simplices in the de Sitter sphere and
G. Sforza / 1906 / Spazi metrico-proiettivi / Ricerche di Estensionimetria differenziale, Serie III, VIII : 3 ~ 66
J. Milnor / 1994 / The Schl¨afli Differential Equality, Collected papers, Vol. 1 / Publish or Perish
J. Murakami / 2005 / A volume formula for hyperbolic tetrahedra in terms of edge lengths / J. Geom 83 (1) : 153 ~ 163
E. Su´arez-Peir´o / 2000 / A Schl¨afli differential formula for simplices in semi-Riemannian hyperquadrics, Gauss-Bonnet formulas for simplices in the de Sitter sphere and
G. Sforza / 1906 / Spazi metrico-proiettivi / Ricerche di Estensionimetria differenziale, Serie III, VIII : 3 ~ 66
J. Milnor / 1994 / The Schl¨afli Differential Equality, Collected papers, Vol. 1 / Publish or Perish
J. Murakami / 2005 / A volume formula for hyperbolic tetrahedra in terms of edge lengths / J. Geom 83 (1) : 153 ~ 163
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