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papers

Publications (20)

math.DG2006

Local monotonicity and mean value formulas for evolving Riemannian manifolds

Klaus Ecker, Dan Knopf, Lei Ni +1

math.DG2010

Formal matched asymptotics for degenerate Ricci flow neckpinches

Sigurd B. Angenent, James Isenberg, Dan Knopf

math.DG2002

New Li--Yau--Hamilton Inequalities for the Ricci Flow via the Space-time Approach

Bennett Chow, Dan Knopf

math.DG2002

Hamilton's injectivity radius estimate for sequences with almost nonnegative curvature operators

Bennett Chow, Dan Knopf, Peng Lu

math.DG2013

Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow

Zhou Gang, Dan Knopf, Israel Michael Sigal

math.DG2019

Non-Kahler Ricci flow singularities modeled on Kahler-Ricci solitons

James Isenberg, Dan Knopf, Natasa Sesum

math.DG2012

Degenerate neckpinches in Ricci flow

Sigurd B. Angenent, James Isenberg, Dan Knopf

math.DG2014

Universality in mean curvature flow neckpinches

Zhou Gang, Dan Knopf

math.DG2009

Minimally invasive surgery for Ricci flow singularities

Sigurd B. Angenent, M. Cristina Caputo, Dan Knopf

math.DG2008

Asymptotic Stability of the Cross Curvature Flow at a Hyperbolic Metric

Dan Knopf, Andrea Young

math.DG2005

Precise asymptotics of the Ricci flow neckpinch

Sigurd Angenent, Dan Knopf

math.DG2014

Ricci flow neckpinches without rotational symmetry

James Isenberg, Dan Knopf, Natasa Sesum

math.DG2002

A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$

Tom Ilmanen, Dan Knopf

math.DG2009

Convergence and stability of locally \mathbb{R}^{N}-invariant solutions of Ricci flow

Dan Knopf

math.DG2006

Linear stability of homogeneous Ricci solitons

Christine Guenther, James Isenberg, Dan Knopf

math.DG2005

Positivity of Ricci curvature under the Kähler--Ricci flow

Dan Knopf

math.GT2015

Sphere Bundles with 1/4-pinched Fiberwise Metrics

Thomas Farrell, Zhou Gang, Dan Knopf +1

math.DG2009

Cross curvature flow on a negatively curved solid torus

Jason DeBlois, Dan Knopf, Andrea Young

math.DG2007

Estimating the trace-free Ricci tensor in Ricci flow

Dan Knopf

math.DG2018

Dynamic instability of $\mathbb{CP}^N$ under Ricci flow

Dan Knopf, Natasa Sesum