Vitali Kapovitch's Home Page
Department of Mathematics
University of Maryland
College Park, MD 20742
Office:
Math 4108
Telephone:
301-405-5074
Fax:
301-314-0827
E-mail:
vtk@math.umd.edu
"God
put me on Earth to
accomplish a certain
number
of things. Right now I am so far behind I will never die."
--Bill Watterson
Teaching:
Research
Interests: I'm interested in
global Riemannian geometry. More specifically, I'm interested in
convergence with lower sectional and Ricci curvature bounds and
manifolds of pinched negative curvature.
Publications/Preprints
(which can
also be
downloaded
here)
- 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), 2004, 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
- A
note on
rational
homotopy
of biquotients, preprint
- 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.
Here are some geometry links:
This
home page
is always under
construction 
