Open problems and questions about geodesics
K Burns, VS Matveev - Ergodic Theory and Dynamical Systems, 2021 - cambridge.org
The paper surveys open problems and questions related to geodesics defined by
Riemannian, Finsler, semi-Riemannian and magnetic structures on manifolds. It is an …
Riemannian, Finsler, semi-Riemannian and magnetic structures on manifolds. It is an …
A curvature inequality characterizing totally geodesic null hypersurfaces
B Olea - Mediterranean Journal of Mathematics, 2023 - Springer
A well-known application of the Raychaudhuri equation shows that, under geodesic
completeness, totally geodesic null hypersurfaces are unique which satisfy that the Ricci …
completeness, totally geodesic null hypersurfaces are unique which satisfy that the Ricci …
[HTML][HTML] Canonical variation of a Lorentzian metric
B Olea - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
Given a Lorentzian manifold (M, g L) and a timelike unitary vector field E, we can construct
the Riemannian metric g R= g L+ 2 ω⊗ ω, ω being the metrically equivalent one form to E …
the Riemannian metric g R= g L+ 2 ω⊗ ω, ω being the metrically equivalent one form to E …
A note on geodesic vector fields
The concircularity property of vector fields implies the geodesicity property, while the
converse of this statement is not true. The main objective of this note is to find conditions …
converse of this statement is not true. The main objective of this note is to find conditions …
Equigeodesics on flag manifolds
This paper provides a characterization of homogeneous curves on a geometric flag manifold
which are geodesic with respect to any invariant metric. We call such curves homogeneous …
which are geodesic with respect to any invariant metric. We call such curves homogeneous …
Closed geodesics in Lorentzian surfaces
S Suhr - Transactions of the American Mathematical Society, 2013 - ams.org
We show that every closed Lorentzian surface contains at least two closed geodesics.
Explicit examples show the optimality of this claim. Refining this result we relate the least …
Explicit examples show the optimality of this claim. Refining this result we relate the least …
On closed geodesics in Lorentz manifolds
S Allout, A Belkacem, A Zeghib - Geometric and Functional Analysis, 2024 - Springer
On Closed Geodesics in Lorentz Manifolds | Geometric and Functional Analysis Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your …
main content SpringerLink Account Menu Find a journal Publish with us Track your …
Actions of discrete groups on stationary Lorentz manifolds
P Piccione, A Zeghib - Ergodic Theory and Dynamical Systems, 2014 - cambridge.org
We study the geometry of compact Lorentzian manifolds that admit a somewhere timelike
Killing vector field, and whose isometry group has infinitely many connected components …
Killing vector field, and whose isometry group has infinitely many connected components …
A Counterexample to Guillemin's Zollfrei Conjecture
S Suhr - Journal of Topology and Analysis, 2013 - World Scientific
A COUNTEREXAMPLE TO GUILLEMIN'S ZOLLFREI CONJECTURE Page 1 Journal of Topology
and Analysis Vol. 5, No. 3 (2013) 251–260 c© World Scientific Publishing Company DOI …
and Analysis Vol. 5, No. 3 (2013) 251–260 c© World Scientific Publishing Company DOI …
On the isometry group and the geometric structure of compact stationary Lorentzian manifolds
P Piccione, A Zeghib - arXiv preprint arXiv:1002.0814, 2010 - arxiv.org
We study the geometry of compact Lorentzian manifolds that admit a somewhere timelike
Killing vector field, and whose isometry group has infinitely many connected components …
Killing vector field, and whose isometry group has infinitely many connected components …