Infinitesimal computations in topology
Infinitesimal conjugacies and Weil-Petersson metric
We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.
Infinitesimal differential geometry.
Infinitésimaux et intuitionnisme
Inflated mappings for singularities of codimension
Injectivité de la transformation de Radon sur les grassmanniennes
Injectivity onto a star-shaped set for local homeomorphisms in n-space
We provide a number of either necessary and sufficient or only sufficient conditions on a local homeomorphism defined on an open, connected subset of the n-space to be actually a homeomorphism onto a star-shaped set. The unifying idea is the existence of "auxiliary" scalar functions that enjoy special behaviours along the paths that result from lifting the half-lines that radiate from a point in the codomain space. In our main result this special behaviour is monotonicity, and the auxiliary function...
Injectivity radius and low eigenvalues of hyperbolic manifolds.
Instability of elliptic equations on compact Riemannian manifolds with non-negative Ricci curvature.
Instanton moduli as a novel map from tori to K3-surfaces.
Instantons
Instantons on Hopf surfaces and monopoles on solid tori.
Instantony a topologie čtyřrozměrných variet
Integrability of the Bakirov system: a zero-curvature representation.
Integrability of the Poisson algebra on a locally conformal symplectic manifold
Summary: It is proven that the Poisson algebra of a locally conformal symplectic manifold is integrable by making use of a convenient setting in global analysis. It is also observed that, contrary to the symplectic case, a unified approach to the compact and non-compact case is possible.
Integrable system of the heat kernel associated with logarithmic potentials
The heat kernel of a Sturm-Liouville operator with logarithmic potential can be described by using the Wiener integral associated with a real hyperplane arrangement. The heat kernel satisfies an infinite-dimensional analog of the Gauss-Manin connection (integrable system), generalizing a variational formula of Schläfli for the volume of a simplex in the space of constant curvature.
Integrable systems and group actions
The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.
Integrable systems and projective images of Kummer surfaces
Integral calculus on (2).
Integral closure of modules and Whitney equisingularity.