The geometric interpretatinon of characteristic values of gram and edge matrices of the hyperbolic and spherical tedrahedron

This thesis consist of seven chapters .The first and second chapters are prepared as introduction and basıc concepts. In the third chapter, dihedral angels in terms of characteristic values and characteristic vectors of Gram matrix, and edge lengths related with characteristic values and characteristic vectors of edge matrix of a hyperbolic tetrahedron are given. In the forth chapter, dihedral angels in terms of characteristic values and characteristic vectors of Gram matrix, and edge lengths related with characteristic values and characteristic vectors of edge matrix of a spherical tetrahedron are given. In the fifth chapter, new results among vertex angle and hights of some special tedrahedra in hyperbolic space are given. In the sixth chapter, new result among vertex angle and hights of some special tedrahedra in spherical space are given. In the seventh chapter, the conclusions of those findings are summarized.