Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
Gabor Toth (1984)
Banach Center Publications
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Displaying similar documents to “Some remarks on -actions with sections”
Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
An application of the Morse theory to the topology of Lie-groups
Raoul Bott (1956)
Bulletin de la Société Mathématique de France
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Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces and
László Verhóczki (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The exceptional compact symmetric spaces and admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.
Jacobi vector fields and geodesic tubes in certain Kähler manifolds
Arvanitoyeorgos, Andreas, Beneki, Christina
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Manifolds of nonpositive curvature and their buildings
Keith Burns, Ralf Spatzier (1987)
Publications Mathématiques de l'IHÉS
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Jacobi fields and its application of normal contact Lorentzian manifolds.
Toshihiko, Ikawa (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Generalized geodesic deviations: a Lagrangean approach
R. Kerner (2003)
Banach Center Publications
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The geodesic deviation equations, called also the Jacobi equations, describe only the first-order effects, linear in the small parameter characterizing the deviation from an original worldline. They can be easily generalized if we take into account the higher-order terms. Here we derive these higher-order equations not only directly, but also from the Taylor expansion of the variational principle itself. Then we show how these equations can be used in a novel approach to the two-body...