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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Displaying similar documents to “On the set of homogeneous geodesics of a left-invariant metric.”
Compact Riemannian manifolds with homogeneous geodesics.
Geodesics on a central symmetric warped product manifold.
Ben Youssif, N.M. (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Light rays in static spacetimes with critical asymptotic behavior: a variational approach.
Luisi, Valeria (2006)
Electronic Journal of Differential Equations (EJDE) [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.
Geodesic equations on diffeomorphism groups.
Vizman, Cornelia (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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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Lorentzian geometry in the large
John Beem (1997)
Banach Center Publications
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...
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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Sufficient decrease principle on Riemannian manifolds.
Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Homogeneous geodesics in a three-dimensional Lie group
Rosa Anna Marinosci (2002)
Commentationes Mathematicae Universitatis Carolinae
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O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at least one homogeneous geodesic, i.eȯne geodesic which is an orbit of a one-parameter group of isometries. In [KNV] the related two problems were studied and a negative answer was given to both ones: (1) Let be a homogeneous Riemannian manifold where is the largest connected group of isometries and . Does always admit more than one homogeneous geodesic? (2) Suppose that admits linearly...