12 citations · 18 across the 4 of their papers we have counts for
4 papers · 1 filter
PseudoH-type 2-step nilpotent Lie groups
C. Jang, K. Park, P. E. Parker
PseudoH-type is a natural generalization of H-type to geometries with indefinite metric tensors. We give a complete determination of the conjugate locus including multiplicities. W…
Generalized Sprays and Nonlinear Connections
L. Del Riego, Phillip. E. Parker
The main purposes of this article are to extend our previous results on homogeneous sprays to arbitrary (generalized) sprays, to show that locally diffeomorphic exponential maps ca…
Conjugate loci of pseudoriemannian 2-step nilpotent Lie groups with nondegenerate center
Changrim Jang, Phillip E. Parker
We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is 1-dimensional we obtain formulas in all case…
Pseudoriemannian 2-Step Nilpotent Lie Groups
Luis A. Cordero, Phillip E. Parker
We begin a systematic study of these spaces, initially following along the lines of Eberlein's comprehensive study of the Riemannian case. In particular, we integrate the geodesic…