BibTex RIS Kaynak Göster
Yıl 2015, Volume 3, 2015, 1 - 3, 26.05.2016

Öz

Kaynakça

  • 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

Yıl 2015, Volume 3, 2015, 1 - 3, 26.05.2016

Öz

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

Kaynakça

  • 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).
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA22SU96AV
Bölüm Makaleler
Yazarlar

Baki Karliga Bu kişi benim

Yayımlanma Tarihi 26 Mayıs 2016
Yayımlandığı Sayı Yıl 2015 Volume 3, 2015

Kaynak Göster

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.
AMA Karliga B. Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. TJMCS. Mayıs 2016;3(1):1-3.
Chicago Karliga, Baki. “Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn”. Turkish Journal of Mathematics and Computer Science 3, sy. 1 (Mayıs 2016): 1-3.
EndNote Karliga B (01 Mayıs 2016) Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. Turkish Journal of Mathematics and Computer Science 3 1 1–3.
IEEE B. Karliga, “Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn”, TJMCS, c. 3, sy. 1, ss. 1–3, 2016.
ISNAD Karliga, Baki. “Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn”. Turkish Journal of Mathematics and Computer Science 3/1 (Mayıs 2016), 1-3.
JAMA 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, c. 3, sy. 1, 2016, ss. 1-3.
Vancouver Karliga B. Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn. TJMCS. 2016;3(1):1-3.