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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Bromberg, Shirley, Medina, Alberto (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Szenthe, János (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Batat, Wafaa, Rahmani, Salima (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Vizman, Cornelia (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
Alekseevsky, Dmitrii V., Nikonorov, Yurii G. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Guha, Partha, Olver, Peter J. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
Božidar Jovanović (2008)
Publications de l'Institut Mathématique
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Pripoae, Cristina-Liliana, Pripoae, Gabriel-Teodor (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Anco, Stephen C. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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...