Results 21 to 30 of about 730 (47)
Control of travelling walls in a ferromagnetic nanowire
, 2006 We investigate the problem of controlling the magnetic moment in a ferromagnetic nanowire submitted to an external magnetic field in the direction of the nanowire. The system is modeled with the one dimensional Landau-Lifschitz equation.
Carbou, Gilles +2 more
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Symmetric Spaces and Star representations II : Causal Symmetric Spaces
, 2001 We construct and identify star representations canonically associated with holonomy reducible simple symplectic symmetric spaces. This leads the a non-commutative geometric realization of the correspondence between causal symmetric spaces of Cayley type ...
Arnal +5 more
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A Topological Approach to Unifying Compactifications of Symmetric Spaces
, 2013 In this paper we present a topological way of building a compactification of a symmetric space from a compactification of a Weyl ...
Freitas, Pedro J.
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Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian
, 2017 The space forms, the complex hyperbolic spaces and the quaternionic hyperbolic spaces are characterized as the harmonic manifolds with specific radial eigenfunctions of the Laplacian.Comment: 8 ...
Choe, Jaigyoung +2 more
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Vafa-Witten Estimates for Compact Symmetric Spaces
, 2006 We give an optimal upper bound for the first eigenvalue of the untwisted Dirac operator on a compact symmetric space G/H with rk G-rk H\le 1 with respect to arbitrary Riemannian metrics. We also prove a rigidity statement.Comment: LaTeX, 11 pages.
C. Bär +10 more
core +3 more sources
Spherical Functions on Riemannian Symmetric Spaces
, 2017 This paper deals with some simple results about spherical functions of type $\delta$, namely new integral formulas, new results about behavior at infinity and some facts about the related $C_\sigma$ functions.Comment: 15 ...
Helgason, Sigurdur
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On the Cartan Model of the Canonical Vector Bundles over Grassmannians
, 2006 We give a representation of canonical vector bundles over Grassmannian manifolds as non-compact affine symmetric spaces as well as their Cartan model in the group of the Euclidean motions.Comment: 6 ...
A. T. Fomenko +6 more
core +2 more sources
Vector-valued covariant differential operators for the M\"obius transformation
, 2014 We obtain a family of functional identities satisfied by vector-valued functions of two variables and their geometric inversions. For this we introduce particular differential operators of arbitrary order attached to Gegenbauer polynomials.
H. Cohen +3 more
core +3 more sources
Nonzero degree tangential maps between dual symmetric spaces
, 2001 We construct a tangential map from a locally symmetric space of noncompact type to its dual compact type twin. By comparing the induced map in cohomology to a map defined by Matsushima, we conclude that in the equal rank case the map has a nonzero degree.
Ballmann +9 more
core +1 more source
On the Funk transform on compact symmetric spaces
, 2009 We prove that a function on an irreducible compact symmetric space M, which is not a sphere, is determined by its integrals over the shortest closed geodesics in M. We also prove a support theorem for the Funk transform on rank one symmetric spaces which
Klein, Sebastian +2 more
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