Vitali Kapovitch

Vitali Kapovitch is a Professor of Mathematics in University of Toronto.

Publications

*Perelman's Stability Theorem, To be published in Surveys in Comparison Geometry.
*Nilpotency, almost nonnegative curvature and the gradient push, (with A. Petrunin and W. Tuschmann), 2005, to appear in Annals of Mathematics.
*Nonnegative pinching, moduli spaces and bundles with infinitely many souls,(with A. Petrunin and W. Tuschmann), Journal of Diff. Geometry, 71, (2005), no. 3, pp. 365-383.
*Pinching estimates for negatively curved manifolds with nilpotent fundamental groups,(with I. Belegradek), Geom. Funct. Anal. 15, (2005), no. 5, 929--938.
*Curvature bounds via Ricci smoothing, Illinois Journal of Mathematics, 49, (2005) no. 1, pp.259-263,
*(with I. Belegradek) Classification of negatively pinched manifolds with amenable fundamental groups , to appear in Acta Mathematica
*Biquotients with singly generated rational cohomology, (with W. Ziller), Geometriae Dedicata, 104 (1): 149--160, 2004
*Restrictions on collapsing with a lower sectional curvature bound, Mathematische Zeitschrift, 249, (2005),no.3, pp. 519 - 539
* Regularity of limits of noncollapsing sequences of manifolds, Geom. Funct. Anal. 12 (2002), no. 1, 121--137.(with I.Belegradek)
*Obstructions to nonnegative curvature and rational homotopy theory, Journal of AMS, 16 (2003), 259-284.
*(with I.Belegradek) Finiteness theorems for nonnegatively curved vector bundles, Duke Mathematical Journal, 108 (2001), no. 1, pp. 109--134.
*(with I.Belegradek) Topological obstructions to nonnegative curvature, Math. Ann. 320 (2001), no. 1, 167--190.
*(with L. Guijarro) Restrictions on the geometry at infinity of nonnegatively curved manifolds, Duke Math. J. 78 (1995), no. 2, 257--276.

External links

* http://www.math.umd.edu/~vtk/
* http://www.math.toronto.edu/vtk/