Isoptics of pairs of nested closed strictly convex curves and Crofton-type formulas.
Isospectral Connections on Line Bundles.
Isospectral deformations of closed riemannian manifolds with different scalar curvature
We construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds , more precisely, on , where is a torus of dimension and is a sphere of dimension . These metrics are not locally homogeneous; in particular, the scalar curvature of each metric is nonconstant. For some of the deformations, the maximum scalar curvature changes during the deformation.
Isospectral deformations of the Lagrangian Grassmannians
We study the special Lagrangian Grassmannian , with , and its reduced space, the reduced Lagrangian Grassmannian . The latter is an irreducible symmetric space of rank and is the quotient of the Grassmannian under the action of a cyclic group of isometries of order . The main result of this paper asserts that the symmetric space possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank , which is...
Isospectral deformations on Riemannian manifolds which are diffeomorphic to compact Heisenberg manifolds.
Isospectral hyperbolic surfaces have matching geodesics.
Isospectral Riemann surfaces
We construct new examples of compact Riemann surfaces which are non isometric but have the same spectrum of the Laplacian. Examples are given for genus and for all . In a second part we give examples of isospectral non isometric surfaces in which are realizable by paper models.
Isothermic surfaces and Hopf cylinders.
Isotopy of sympletic balls, Gromov' s radius and the structure of ruled symplectic 4-manifolds.
Isotropic almost complex structures and harmonic unit vector fields
Isotropic almost complex structures define a class of Riemannian metrics on tangent bundles of Riemannian manifolds which are a generalization of the Sasaki metric. In this paper, some results will be obtained on the integrability of these almost complex structures and the notion of a harmonic unit vector field will be introduced with respect to the metrics . Furthermore, the necessary and sufficient conditions for a unit vector field to be a harmonic unit vector field will be obtained.
Isotropic almost complex structures on tangent bundles.
Isotropic characteristic classes
Isotropic curvature: A survey
We discuss the notion of isotropic curvature of a Riemannian manifold and relations between the sign of this curvature and the geometry and topology of the manifold.
Isotropic sections and curvature properties of hyperbolic Kaehlerian manifolds.
Isotropic Totally Real Submanifolds.
Iterates of maps which are non-expansive in Hilbert's projective metric
The cycle time of an operator on gives information about the long term behaviour of its iterates. We generalise this notion to operators on symmetric cones. We show that these cones, endowed with either Hilbert’s projective metric or Thompson’s metric, satisfy Busemann’s definition of a space of non- positive curvature. We then deduce that, on a strictly convex symmetric cone, the cycle time exists for all maps which are non-expansive in both these metrics. We also review an analogue for the Hilbert...
Iterations of translative integral formulae and non-isotropic Poisson processes of particles.
Jacobi Fields and Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems.
Jacobi fields and its application of normal contact Lorentzian manifolds.
Jacobi maps between Riemannian manifolds.