Trigonometry of complex Hermitian -type homogeneous symmetric spaces
Trigonometry of complex Hermitian -type homogeneous symmetric spaces
This paper contains a thorough study of the trigonometry of the homogeneous symmetric spaces in the Cayley–Klein–Dickson family of spaces of 'complex Hermitian'-type and rank-1. The complex Hermitian elliptic PN ≡ SU(N + 1)/(U(1) ⊗ SU(N)) and hyperbolic HN ≡ SU(N, 1)/(U(1) ⊗ SU(N)) spaces, their analogues with indefinite Hermitian …