A geometric space without conjugate points.
Bucataru, Ioan, Dahl, Matias F. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Bucataru, Ioan, Dahl, Matias F. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Eric Boeckx, José Carmelo González-Dávila, Lieven Vanhecke (2002)
Commentationes Mathematicae Universitatis Carolinae
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We study the stability of the geodesic flow as a critical point for the energy functional when the base space is a compact orientable quotient of a two-point homogeneous space.
Salvai, Marcos (2005)
Journal of Lie Theory
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Ülo Lumiste (2002)
Commentationes Mathematicae Universitatis Carolinae
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By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible.