Cano, F Roche, C. Spivakovsky, M.
Published in
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of Zariski. The reduction of singularities is then obtained by a gluing procedure for Local Uniformizations similar to the one used by Zariski.

Majhi, Bibhas Ranjan Padmanabhan, T.
Published in
The European Physical Journal C

Thermal properties of a static horizon (like the entropy S, heat content TS, etc.) can be obtained either from the surface term of the Einstein–Hilbert action or by evaluating the Noether charge, corresponding to the diffeomorphisms generated by the timelike Killing vector field. We show that, for a wide class of geometries, the same results can be...

Krishchenko, A. P.
Published in
Doklady Mathematics

Lagzi, Fereshteh Atay, Fatihcan M Rotter, Stefan
Published in
BMC Neuroscience

Trischler, Adam P D'Eleuterio, Gabriele MT
Published in
BMC Neuroscience

Basalaev, S. G.
Published in
Doklady Mathematics

Capogna, Luca Citti, Giovanna Rea, Garrett
Published in
Mathematische Annalen

We study the Harnack inequality for weak solutions of a class of degenerate parabolic quasilinear PDE \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \p...

Tunitsky, D. V.
Published in
Doklady Mathematics

Brendle, Simon
Published in
Inventiones mathematicae

Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and κ-noncollapsed. We prove that (M,g) is isometric to the Bryant soliton up to scaling. This solves a problem mentioned in Perelman’s first paper.

Zubrilin, K. M.
Published in
Journal of Mathematical Sciences

We study the flattening properties of diffeomorphisms of the second-order tangent bundles induced by holomorphically projective diffeomorphisms of Kählerian spaces.