Admissible distributions on p-adic symmetric spaces.
Affin manifolds with nilpotent holonomy.
Affine Actions of Higher Rank Lattices.
Affine analogues of the Sasaki-Shchepetilov connection
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM ⊕ E, where E is a trivial bundle. The metrizable case, when M is a Riemannian manifold of constant curvature, together with its higher dimension generalizations, was studied by A.V. Shchepetilov [J. Phys. A: 36 (2003), 3893-3898]. This paper deals with the case of non-metrizable locally symmetric connection. Two flat connections on...
Affine Anosov diffeomorphims of affine manifolds.
Affine classification of -curves.
Affine compact almost-homogeneous manifolds of cohomogeneity one
This paper is one in a series generalizing our results in [12, 14, 15, 20] on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of Kähler-Einstein metrics on these manifolds and obtain new Kähler-Einstein manifolds as well as Fano manifolds without Kähler-Einstein metrics. As a consequence of our study, we also give a solution to the problem...
Affine connections on almost para-cosymplectic manifolds
Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.
Affine Darboux motions
Affine deformation of surfaces
Affine differential geometry of surfaces
Affine differential invariants for planar curves.
Affine higher order parallel hypersurfaces
Affine invariants of annuli
A family of regular annuli is considered. Affine invariants of annuli are introduced.
Affine isoparametric hypersurfaces.
Affine isoperimetric problems and surfaces with constant affine mean curvature.
Affine maximal hypersurfaces
This paper is part of the autumn school on "Variational problems and higher order PDEs for affine hypersurfaces". We discuss affine Bernstein problems and complete constant mean curvature surfaces in equiaffine differential geometry.
Affine Parts of Abelian Surfaces as Complete Intersections of Four Quadrics.
Affine perimeter and limit shape.
Affine reductive spaces