Now showing items 1-10 of 69
Calibrated geodesic foliations of hyperbolic space
(American Mathematical Society, 2016-01)
Let H be the hyperbolic space of dimension n + 1. A geodesic foliation of H is given by a smooth unit vector field on L all of whose integral curves are geodesics. Each geodesic foliation of L determines an n-dimensional ...
EQUIGEODESICS ON FLAG MANIFOLDS
(Univ HoustonHoustonEUA, 2011)
A version of the Hermite--Hadamard inequality in a nonpositve curvature space
(Banach Mathematical Research Group, 2012-06)
We obtain some Hermite-Hadamard type inequalities for convex functions in a global non-positive curvature space.
The magnetic flow on the manifold of oriented geodesics of a three dimensional space form
(Osaka University. Departments of Mathematics, 2013-09)
Let M be the three dimensional complete simply connected manifold of constant sectional curvature 0,10,1 or −1−1. Let L be the manifold of all (unparametrized) complete oriented geodesics of M, endowed with its canonical ...
Genericity of Nondegenerate Critical Points and Morse Geodesic Functionals
(INDIANA UNIV MATH JOURNAL, 2009)
We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy condition for the critical points. Using classical ...
Equigeodesics on Generalized Flag Manifolds with Two Isotropy Summands
(Birkhauser Verlag AgBaselSuíça, 2011)
Stability of the conjugate index, degenerate conjugate points and the Maslov index in semi-Riemannian geometry
(Pacific Journal MathematicsBerkeleyEUA, 2002)
Blakers-Massey elements and exotic diffeomorphisms of S-6 and S-14 via geodesics
(Amer Mathematical SocProvidenceEUA, 2004)