96 citations · 245 across the 35 of their papers we have counts for
43 papers
Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets
Semyon Alesker
In [8], a non-Archimedean analogue of the space of translation-invariant even valuations on convex sets was introduced. In [7], motivated by a further analogy with the classical th…
Non-Archimedean analogue of the space of valuations on convex sets
Semyon Alesker
In the last two decades a number of structures on the classical space of translation invariant valuations on convex bodies were discovered, e.g. product, convolution, a Fourier typ…
Octonionic Calabi-Yau theorem
Semyon Alesker, Peter Gordon
A new class of Riemannian metrics, called octonionic Kähler, is introduced and studied on a certain class of 16-dimensional manifolds. It is an octonionic analogue of Kähler metric…
New invariants of Gromov-Hausdorff limits of Riemannian surfaces with curvature bounded below
Semyon Alesker, Mikhail Katz, Roman Prosanov
Let be a sequence of compact -dimensional Alexandrov spaces (e.g. Riemannian manifolds) with curvature uniformly bounded below which converges in the Gromov-Hausdorff…
On convergence of intrinsic volumes of Riemannian manifolds
Semyon Alesker
In 1939 H. Weyl has introduced the so called intrinsic volumes , (known also as Lipschitz-Killing curvatures) for any closed smooth Riemannian manifold …
Kotrbaty's theorem on valuations and geometric inequalities for convex bodies
Semyon Alesker
Very recently J. Kotrbaty has proven general inequalities for translation invariant smooth valuations formally analogous to the Hodge- Riemann bilinear relations in the Kahler geom…