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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Gabor Toth (1984)
Banach Center Publications
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Raoul Bott (1956)
Bulletin de la Société Mathématique de France
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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.
Arvanitoyeorgos, Andreas, Beneki, Christina
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Keith Burns, Ralf Spatzier (1987)
Publications Mathématiques de l'IHÉS
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Toshihiko, Ikawa (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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...
Roberto Giambò, Fabio Giannoni, Paolo Piccione (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be a complete Riemannian manifold, an open subset whose closure is diffeomorphic to an annulus. If is smooth and it satisfies a strong concavity assumption, then it is possible to prove that there are at least two geometrically distinct geodesics in starting orthogonally to one connected component of and arriving orthogonally onto the other one. The results given in [5] allow to obtain a proof of the existence of two distinct homoclinic orbits for an autonomous Lagrangian...