The information geometric descriptions of denormalized thermodynamic manifolds.
The information metric on rational maps.
The initial value problem of the Poincaré gauge theory in vacuum. II. First order formalism
The initial value problem of the Poincaré gauge theory in vacuum. I. Second order formalism
The instability of naked singularities in the gravitational collapse of a scalar field.
The integrability of a field of endomorphisms
A Theorem is proved that gives intrinsic necessary and sufficient conditions for the integrability of a zero-deformable field of endomorphisms. The Theorem is proved by reducing to a special case in which the endomorphism field is nilpotent. Many arguments used in the derivation of similar results are simplified, principally by means of using quotient rather than subspace constructions.
The Intersection of Four Quadrics in IP6, Abelian Surfaces and their Moduli.
The intrinsic torsion of almost quaternion-Hermitian manifolds
We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kähler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic torsion...
The invariant classification of 3-dimensional linear subspaces of infinitesimal isometries of
The ..-invariant of hyperbolic 3-manifolds.
The inverse mean curvature flow and -harmonic functions
We consider the level set formulation of the inverse mean curvature flow. We establish a connection to the problem of -harmonic functions and give a new proof for the existence of weak solutions.
The inverse problem of the calculus of variations for Finsler structures
The Isometry Groups of Manifolds of Nonpositive Curvature with Finite Volume.
The isometry groups of riemannian manifolds admitting strictly convex functions
The isometry groups of Riemannian orbifolds.
The isoperimetric inequality and the total absolute curvature of closed curves in spheres.
The isoperimetric inequality for a minimal surface with radially connected boundary
The isotropic 3-sphere.
The iterated version of a translative integral formula for sets of positive reach
By taking into account the work of J. Rataj and M. Zähle [Geom. Dedicata 57, 259-283 (1995; Zbl 0844.53050)], R. Schneider and W. Weil [Math. Nachr. 129, 67-80 (1986; Zbl 0602.52003)], W. Weil [Math. Z. 205, 531-549 (1990; Zbl 0705.52006)], an integral formula is obtained here by using the technique of rectifiable currents.This is an iterated version of the principal kinematic formula for sets of positive reach and generalized curvature measures.
The Jacobi equation on naturally reductive compact Riemannian homogeneous spaces.