V. Kapovitch

发表

Classification of negatively pinched manifolds with amenable fundamental groups

I. Belegradek, V. Kapovitch, 2004, math/0402268.

Non-negative pinching, moduli spaces and bundles with infinitely many souls

A. Petrunin, Wilderich Tuschmann, V. Kapovitch, 2004, math/0411179.

Pinching estimates for negatively curved manifolds with nilpotent fundamental groups

I. Belegradek, V. Kapovitch, 2004, math/0405579.

Biquotients with Singly Generated Rational Cohomology

W. Ziller, V. Kapovitch, 2002, math/0210231.

On the structure of $$\mathrm {RCD}$$ spaces with upper curvature bounds

C. Ketterer, Martin Kell, V. Kapovitch, 2022, Mathematische Zeitschrift.

The structure of submetries

A. Lytchak, V. Kapovitch, 2020, Geometry & Topology.

A note on rational homotopy of biquotients

V. Kapovitch, 2003 .

Space of nonnegatively curved metrics and pseudoisotopies

F. Farrell, I. Belegradek, V. Kapovitch, 2015, 1501.03475.

An Invitation to Alexandrov Geometry

A. Petrunin, S. Alexander, V. Kapovitch, 2017, SpringerBriefs in Mathematics.

Obstructions to nonnegative curvature and rational homotopy theory

I. Belegradek, V. Kapovitch, 2000, math/0007007.

On fibrations with formal elliptic fibers

Manuel Amann, V. Kapovitch, 2011, 1112.3556.

Finiteness theorems for nonnegatively curved vector bundles

I. Belegradek, V. Kapovitch, 2000, math/0002028.

Topological obstructions to nonnegative curvature

I. Belegradek, V. Kapovitch, 2000, math/0001125.

Remarks on Manifolds with Two-Sided Curvature Bounds

Vitali Kapovitch, Alexander Lytchak, A. Lytchak, 2021, 2101.03050.

Metric-measure boundary and geodesic flow on Alexandrov spaces

A. Petrunin, A. Lytchak, V. Kapovitch, 2017, 1705.04767.

Structure of fundamental groups of manifolds with Ricci curvature bounded below

Burkhard Wilking, V. Kapovitch, 2011, 1105.5955.

Regularity of limits of noncollapsing sequences of manifolds

V. Kapovitch, 2001, math/0109075.

Restrictions on the geometry at infinity of nonnegatively curved manifolds

Luis Guijarro, V. Kapovitch, 1995 .

On the topology and the boundary of N–dimensional RCD(K,N) spaces

A. Mondino, V. Kapovitch, Andrea Mondino, 2019, Geometry & Topology.

On noncollapsed almost Ricci-flat 4-manifolds

J. Lott, V. Kapovitch, 2016, American Journal of Mathematics.

Mixed curvature almost flat manifolds

Vitali Kapovitch, V. Kapovitch, 2019, Geometry & Topology.

Perelman???s Stability Theorem

V. Kapovitch, 2007, math/0703002.

Restrictions on collapsing with a lower sectional curvature bound

V. Kapovitch, 2001, math/0110087.

Restrictions on collapse with a lower sectional curvature bound

V. Kapovitch, 2003 .

Manifolds without conjugate points and their fundamental groups

S. Ivanov, V. Kapovitch, 2012, 1205.4455.

Alexandrov geometry: foundations

A. Petrunin, V. Kapovitch, S. Alexander, 2019, 1903.08539.

Subsets

V. Kapovitch, S. Alexander, A. Petrunin, 2019, SpringerBriefs in Mathematics.

On the structure of RCD\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm {RCD}$$\end{document} spaces with upper

C. Ketterer, Martin Kell, V. Kapovitch, 2019, Mathematische Zeitschrift.

CD meets CAT

C. Ketterer, V. Kapovitch, 2017, Journal für die reine und angewandte Mathematik (Crelles Journal).

Weakly Noncollapsed RCD Spaces with Upper Curvature Bounds

C. Ketterer, V. Kapovitch, 2019, Analysis and Geometry in Metric Spaces.

On gluing Alexandrov spaces with lower Ricci curvature bounds

Karl-Theodor Sturm, C. Ketterer, V. Kapovitch, 2020, 2003.06242.

Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces

A. Petrunin, V. Kapovitch, W. Tuschmann, 2005, math/0506273.

Alexandrov meets Kirszbraun

A. Petrunin, S. Alexander, V. Kapovitch, 2010, 1012.5636.

NILPOTENCY , ALMOST NONNEGATIVE CURVATURE AND THE GRADIENT PUSH

A. Petrunin, V. Kapovitch, W. Tuschmann, 2005 .

Alexandrov geometry: foundations

A. Petrunin, S. Alexander, V. Kapovitch, 2019, 1903.08539.

Perelman???s Stability Theorem

V. Kapovitch, 2007, math/0703002.

Sharp bounds and rigidity for volumes of boundaries of Alexandrov spaces

Qintao Deng, V. Kapovitch, 2023, 2308.14668.

Alexandrov Geometry

A. Petrunin, S. Alexander, V. Kapovitch, 2024, Graduate Studies in Mathematics.

An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds

A. Petrunin, S. Alexander, V. Kapovitch, 2013, 1303.5884.