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EQUIGEODESICS ON FLAG MANIFOLDS
(Univ HoustonHoustonEUA, 2011)
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 ...
Short geodesics of unitaries in the L2 metric
(Canadian Mathematical Soc, 2005-09)
Let M be a type II_1 von Neumann algebra, τ a trace in M, and l^2 (M,τ) the GNS Hilbert space of τ. We regard the unitary group U_M as a subset of l^2 (M,τ), and characterize the shortest smooth curves of unitaries joining ...
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)
COMPARISON RESULTS FOR CONJUGATE AND FOCAL POINTS IN SEMI-RIEMANNIAN GEOMETRY VIA MASLOV INDEX
(PACIFIC JOURNAL MATHEMATICS, 2009)
We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a symplectic space. We discuss some applications ...
Metric geodesics of isometries in a Hilbert space and the extension problem
(American Mathematical Society, 2007-08)
We consider the problem of finding short smooth curves of isometries in a Hilbert space H. The length of a smooth curve γ(t), t ∈ [0, 1], is measured by means of ∫^1-0 γ^. (t)ǀǀ dt, where ǀǀ ǀǀ denotes the usual norm of ...