A K-theoretic relative index theorem and Callias-type Dirac operators.
A Lagrange multiplier theorem and a sandwich theorem for convex relations.
A Lie Group Structure for Fourier Integral Operators.
A Lie Group Structure for Pseudodifferential Operators.
A Lie Group Structure on the Space of Time-dependent Vector Fields.
A Lie transformation group attached to a second order elliptic operator.
A Liouville theorem for -harmonic maps with finite -energy.
A Liouville type theorem for -harmonic functions on minimal submanifolds in
A local analytic splitting of the holonomy map on flat connections.
A local index theorem for non Kähler manifolds.
A logarithmic Sobolev form of the Li-Yau parabolic inequality.
We present a finite dimensional version of the logarithmic Sobolev inequality for heat kernel measures of non-negatively curved diffusion operators that contains and improves upon the Li-Yau parabolic inequality. This new inequality is of interest already in Euclidean space for the standard Gaussian measure. The result may also be seen as an extended version of the semigroup commutation properties under curvature conditions. It may be applied to reach optimal Euclidean logarithmic Sobolev inequalities...
A lossless reduction of geodesics on supermanifolds to non-graded differential geometry
Let be a smooth supermanifold with connection and Batchelor model . From we construct a connection on the total space of the vector bundle . This reduction of is well-defined independently of the isomorphism . It erases information, but however it turns out that the natural identification of supercurves in (as maps from to ) with curves in restricts to a 1 to 1 correspondence on geodesics. This bijection is induced by a natural identification of initial conditions for geodesics...
A lower bound for ... on manifolds with boundary.
A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II
This article is concerned with estimations from below for the remainder term in Weyl’s law for the spectral counting function of certain rational (2ℓ + 1)-dimensional Heisenberg manifolds. Concentrating on the case of odd ℓ, it continues the work done in part I [21] which dealt with even ℓ.
A lower bound for the least eigenvalue of ... + V.
A lower bound on ... for geometrically finite hyperbolic n-manifolds.
A manifold structure for analytic isotropy Lie pseudogroups of infinite type.
A map associated to the Lepagian forms on the calculus of variations in fibred manifolds
A mathematician's view of the development of physics
A Maximum Principle for Harmonic Mappings Which Solve A Dirichlet Problem.