Geodesically complete Lorentzian metrics on some homogeneous 3 manifolds.
Bromberg, Shirley, Medina, Alberto (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Geodesics and deformed pseudo-Riemannian manifolds with symmetry.”
Geodesically complete Lorentzian metrics on some homogeneous 3 manifolds.
On the set of homogeneous geodesics of a left-invariant metric.
Szenthe, János (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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On the existence of a codimension 1 completely integrable totally geodesic distribution on a pseudo-Riemannian Heisenberg group.
Batat, Wafaa, Rahmani, Salima (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Geodesic equations on diffeomorphism groups.
Vizman, Cornelia (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hierarchy of integrable geodesic flows.
Peter Topalov (2000)
Publicacions Matemàtiques
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A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.
Compact Riemannian manifolds with homogeneous geodesics.
Alekseevsky, Dmitrii V., Nikonorov, Yurii G. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Geodesic flow and two (super) component analog of the Camassa-Holm equation.
Guha, Partha, Olver, Peter J. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Adapted complex structures and Riemannian homogeneous spaces
Róbert Szőke (1998)
Annales Polonici Mathematici
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We prove that every compact, normal Riemannian homogeneous manifold admits an adapted complex structure on its entire tangent bundle.
Symmetries and Integrability
Božidar Jovanović (2008)
Publications de l'Institut Mathématique
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Free fall motion in an invariant field of forces: the 2D-case.
Pripoae, Cristina-Liliana, Pripoae, Gabriel-Teodor (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.
Anco, Stephen C. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Systems of rays in the presence of distribution of hyperplanes
S. Janeczko (1995)
Banach Center Publications
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Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical...