For compact Lorentzian quotients of oscillator groups, all lightlike geodesics are closed exactly when the lattice contains a nonzero element of the form (0,0,t); otherwise only the Z-direction lightlike geodesics close.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Closed geodesics on compact Lorentzian solvmanifolds
For compact Lorentzian quotients of oscillator groups, all lightlike geodesics are closed exactly when the lattice contains a nonzero element of the form (0,0,t); otherwise only the Z-direction lightlike geodesics close.