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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Displaying similar documents to “Geodesic equations on diffeomorphism groups.”
Free fall motion in an invariant field of forces: the 2D-case.
Geometrical methods in hydrodynamics
Adrian Constantin (2001)
Journées équations aux dérivées partielles
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We describe some recent results on a specific nonlinear hydrodynamical problem where the geometric approach gives insight into a variety of aspects.
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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A geometric space without conjugate points.
Bucataru, Ioan, Dahl, Matias F. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Jacobi operator for leaf geodesics
Paweł Walczak (1993)
Colloquium Mathematicae
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Recent applications of the theory of Lie systems in Ermakov systems.
Cariñena, José F., de Lucas, Javier, Rañada, Manuel F. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Geodesic reduction via frame bundle geometry.
Bhand, Ajit (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Biminimal general helix in the Heisenberg group
Essin Turhan, Talat Körpinar (2010)
Kragujevac Journal of Mathematics
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On the volume of unit vector fields on a compact semisimple Lie group.
Salvai, Marcos (2003)
Journal of Lie Theory
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Representation of a gauge group as motions of a Hilbert space
Clara Lucía Aldana Domínguez (2004)
Annales mathématiques Blaise Pascal
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This is a survey article based on the author’s Master thesis on affine representations of a gauge group. Most of the results presented here are well-known to differential geometers and physicists familiar with gauge theory. However, we hope this short systematic presentation offers a useful self-contained introduction to the subject. In the first part we present the construction of the group of motions of a Hilbert space and we explain the way in which it can be considered...