On the Schlafli differential formula based on edge lengths of tetrahedron in H 3 and S 3

Author:

Yakut Atakan T.,Savas Murat,Kader Serkan

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference28 articles.

1. Lobachevski, N.I.: Imaginare Geometrie und ihre Abwendung auf einige integrale. Deutsche Übersetzung von H. Liebmann. Leipzig: Teubner (1904)

2. Schlafli L.: On the multiple integral $${\int dxdydz}$$ , whose limits are $${p_{1}=a_{1}x+b_{1}y+\cdots +h_{1}z > 0, p_{2} > 0, \ldots, p_{n} > 0,}$$ and $${x^{2}+y^{2}+\cdots +z^{2} < 1}$$ . Q. J. Pure Appl. Math. 2, 69–301 (1858)

3. Kneser H.: Der Simplexinhalt in der nichteuklidischen Geometrie. Deutsche Math. 1, 337–340 (1936)

4. Milnor, J.: The Schlafli Differential Equality. Collected Papers, vol. 1, Publish or Perish (1994)

5. Suarez-Peiro E.: A Schlafli differntial formula for simplices in Semi-Riemannian hyperquadrics, Gauss-Bonnet Formulas for simplices in the de Sitter sphere and the dual volume of a hyperbolic simplices. Pasific J. Math. 194-1, 229–255 (2000)

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