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Year 2015, Volume 3, 2015 , 1 - 3 , 26.05.2016
https://izlik.org/JA52DK58ND

Abstract

References

  • Blumenthal, L.M., Theory and Applications of Distance Geometry, Chelsea Publishing Company, Bronx, New York, (1970).
  • Blumenthal, L.M., Metric Foundation of Hyperbolic Geometry, Revista de Ciencias, 40, 3-20, (1938).
  • Fenchel, W., Elementary Geometry in Hyperbolic Space, W.de Gruyter, Berlin, New York, (1989).
  • Karliga, B., Edge Matrix of Hyperbolic Simplices, Geometriae Dedicata, 109, 1-6, (2004).
  • Luo, F., On a problem of Fenchel, Geometriae Dedicata,64, 277-282, (1997).
  • O’neill, B., Semi-Riemannian Geometry, Academic Press, New York, (1983).
  • Ratcliffe, J.G., Foundations of Hyperbolic Manifold,Springer-Verlag, New York, (1994).
  • Schlenker, J.M., Dihedral Angles of Convex Polyhedra, Discrete Comput.Geom., 23, 409-417, (2000).
  • Schlenker, J.M., Hypersurfaces in Hn and the Space of Its Horospheres, Geometric and Functional Analysis, 12, 395-435, (2002).
  • Schlenker, J.M., M´etriques sur les Poly´edres Hyperboliques Convexes, J. Differential Geom., 48(2), 323-405, (1998).
  • Su´arez-Peir´o, E., A Schl¨afli Differential Formula for Simplices in Semi Riemannian Hyperquadrics, Pacific Journal of Mathematics, 194:1), 229-255, (2000).
  • Vinberg E.B., Geometry II, Encyclopaedia of Mathematical Sciences, Springer-Verlag, 29, Berlin, NewYork, (1993).

Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn

Year 2015, Volume 3, 2015 , 1 - 3 , 26.05.2016
https://izlik.org/JA52DK58ND

Abstract

In this paper, we give necessary and sufficent conditions for n(n+1)/2 positive real numbers φij and θij to be dihedral angles and edge lengths of an n−simplex having spacelike faces with codimensions 1 and 2 in de Sitter space

References

  • Blumenthal, L.M., Theory and Applications of Distance Geometry, Chelsea Publishing Company, Bronx, New York, (1970).
  • Blumenthal, L.M., Metric Foundation of Hyperbolic Geometry, Revista de Ciencias, 40, 3-20, (1938).
  • Fenchel, W., Elementary Geometry in Hyperbolic Space, W.de Gruyter, Berlin, New York, (1989).
  • Karliga, B., Edge Matrix of Hyperbolic Simplices, Geometriae Dedicata, 109, 1-6, (2004).
  • Luo, F., On a problem of Fenchel, Geometriae Dedicata,64, 277-282, (1997).
  • O’neill, B., Semi-Riemannian Geometry, Academic Press, New York, (1983).
  • Ratcliffe, J.G., Foundations of Hyperbolic Manifold,Springer-Verlag, New York, (1994).
  • Schlenker, J.M., Dihedral Angles of Convex Polyhedra, Discrete Comput.Geom., 23, 409-417, (2000).
  • Schlenker, J.M., Hypersurfaces in Hn and the Space of Its Horospheres, Geometric and Functional Analysis, 12, 395-435, (2002).
  • Schlenker, J.M., M´etriques sur les Poly´edres Hyperboliques Convexes, J. Differential Geom., 48(2), 323-405, (1998).
  • Su´arez-Peir´o, E., A Schl¨afli Differential Formula for Simplices in Semi Riemannian Hyperquadrics, Pacific Journal of Mathematics, 194:1), 229-255, (2000).
  • Vinberg E.B., Geometry II, Encyclopaedia of Mathematical Sciences, Springer-Verlag, 29, Berlin, NewYork, (1993).
There are 12 citations in total.

Details

Other ID JA22SU96AV
Authors

Baki Karliga This is me

Publication Date May 26, 2016
IZ https://izlik.org/JA52DK58ND
Published in Issue Year 2015 Volume 3, 2015

Cite

APA Karliga, B. (2016). Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. Turkish Journal of Mathematics and Computer Science, 3(1), 1-3. https://izlik.org/JA52DK58ND
AMA 1.Karliga B. Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. TJMCS. 2016;3(1):1-3. https://izlik.org/JA52DK58ND
Chicago Karliga, Baki. 2016. “Dihedral Angles and Edge Lengths of Spacelike N−simplex in Sn”. Turkish Journal of Mathematics and Computer Science 3 (1): 1-3. https://izlik.org/JA52DK58ND.
EndNote Karliga B (May 1, 2016) Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. Turkish Journal of Mathematics and Computer Science 3 1 1–3.
IEEE [1]B. Karliga, “Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn”, TJMCS, vol. 3, no. 1, pp. 1–3, May 2016, [Online]. Available: https://izlik.org/JA52DK58ND
ISNAD Karliga, Baki. “Dihedral Angles and Edge Lengths of Spacelike N−simplex in Sn”. Turkish Journal of Mathematics and Computer Science 3/1 (May 1, 2016): 1-3. https://izlik.org/JA52DK58ND.
JAMA 1.Karliga B. Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. TJMCS. 2016;3:1–3.
MLA Karliga, Baki. “Dihedral Angles and Edge Lengths of Spacelike N−simplex in Sn”. Turkish Journal of Mathematics and Computer Science, vol. 3, no. 1, May 2016, pp. 1-3, https://izlik.org/JA52DK58ND.
Vancouver 1.Baki Karliga. Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. TJMCS [Internet]. 2016 May 1;3(1):1-3. Available from: https://izlik.org/JA52DK58ND