---

Christina Sormani's Papers

Published Research Articles:

"Sequences of Open Riemannian Manifolds with Boundary"
by Raquel Perales and Christina Sormani
Pacific Journal of Mathematics, to appear
arxiv preprint (January 2013)

"The Tetrahedral Property and a new Gromov-Hausdorff Compactness Theorem"
by Christina Sormani
Comptes Rendus Volume 351, Issues 3-4, February 2013, Pages 119-122
reprint and preprint, (October 2012)

"Smooth Convergence away from Singular Sets"
by Sajjad Lakzian and Christina Sormani
Communications in Analysis and Geometry. Volume 21, Number 1, 39-104, 2013
reprint and arxiv preprint (February 2012)

"Near-equality in the Penrose Inequality for Rotationally Symmetric Riemannian Manifolds"
by Dan Lee and Christina Sormani
Annales Henri Poincare November 2012, Volume 13, Issue 7, pp 1537-1556
reprint and arxiv preprint (September 2011)

"Stability of the Positive Mass Theorem for Rotationally Symmetric Riemannian Manifolds"
by Dan Lee and Christina Sormani
Journal fur die Riene und Angewandte Mathematik (Crelle's Journal), Vol 686 (January 2014)
reprint and arxiv preprint (April 2011)

"The Intrinsic Flat Distance between Riemannian Manifolds and Integral Current Spaces"
by Christina Sormani and Stefan Wenger,
Journal of Differential Geometry, Vol. 87 (2011) 117-199.
arxiv preprint (February 2010)

"Weak Convergence of Currents and Cancellation"
by Christina Sormani and Stefan Wenger
with an appendix by Raanan Schul and Stefan Wenger
Calc. Var. P.D.E., Vol. 38, No 1-2, May, 2010.
arxiv preprint (February 2009) 183-206.

"The Cut-Off Covering Spectrum"
by Christina Sormani and Guofang Wei,
Transactions of the American Mathematical Society 362 (2010), 2339-2391.
preprint on arxiv (May 2007, Sept 2008)

"Conjugate Points in Length Spaces"
by Krishnan Shankar and Christina Sormani
Advances in Mathematics 220 (2009), pp. 791-830.
preprint on the arxiv (Sept 2007, Nov 2007, Sept 2008), reprint

"Convergence and the Length Spectrum"
by Christina Sormani, recommended for graduate students, has an open problem list, 30 pages,
Advances in Mathematics, Volume 213, Issue 1, 1 August 2007, Pages 405-439. reprint.
preprint.pdf (Feb 2006)

"The Covering Spectrum of a Compact Length Space"
by Christina Sormani and Guofang Wei
Journal of Differential Geometry, Vol 67 (2004) 35-77. reprint.pdf.
An Erratum in JDG 74 (2006) 523-3: Example 10.3 is not correct. All else OK.
Arxiv posting, (Nov 2003)

"Friedmann Cosmology and Almost Isotropy"
by Christina Sormani
GAFA, Geom. funct. anal. Vol. 14 (2004) 853-912. reprint
Arxiv posting (Feb 2003, Mar 2004)

"Universal Covers for Hausdorff Limits of Noncompact Spaces"
by Christina Sormani and Guofang Wei
Transactions of the American Mathematical Society 356 (2004), no. 3 pp. 1233-1270. reprint.
Arxiv preprint (July 2002)

"Hausdorff Convergence and Universal Covers"
by Christina Sormani and Guofang Wei
Transactions of the American Mathematical Society 353 (2001), no. 9, 3585--3602. reprintarxiv preprint
Download a postscript copy , pdf copy , or view the abstract. (Aug 2000)

"The Codimension One Homology of a Complete Manifold with
Nonnegative Ricci Curvature"
by Zhongmin Shen and Christina Sormani.
American Journal of Mathematics 123 (2001), no. 3, 515--524. reprint
Download a postscript copy or view the abstract. (Sep 1999, Nov 2000)

"On Loops Representing Elements of the Fundamental Group of a
Complete Manifold with Nonnegative Ricci Curvature"
by Christina Sormani.
Indiana Journal of Mathematics, 50 (2001) no. 4, 1867-1883. reprint
Download a copy or view the abstract (April 1999)

"Nonnegative Ricci Curvature, Small Linear Diameter Growth, and
Finite Generation of Fundamental Groups"
by Christina Sormani.
Journal of Differential Geometry 54 (2000), no. 3, 547--559 reprint.pdf.
Download a copy or view the abstract (Sept 1998)

"Harmonic Functions on Manifolds with Nonnegative Ricci Curvature
and Linear Volume Growth"
by Christina Sormani
Pacific Journal of Mathematics.Vol 192, No 1, 183-189, January 2000.
Download a copy or view the abstract. (March 1999)

"The Rigidity and Almost Rigidity of Manifolds with Lower Bounds on
Ricci Curvature and Minimal Volume Growth",
by Christina Sormani
Communications in Analysis and Geometry. Vol 8, No. 1, 159-212, January 2000.
Download a copy or view the abstract. (May 1996, March 1999)

"Busemann Functions on Manifolds with Lower Ricci Curvature
Bounds and Minimal Volume Growth",
by Christina Sormani
Journal of Differential Geometry 48, (1998) 557-585.
Email me for a copy or view the abstract. (May 1996, Nov 1997)

Survey Articles:

"The Topology of Open Manifolds of Nonnegative Ricci Curvature"
by Zhongmin Shen and Christina Sormani
Communications in Mathematical Analysis, Conf. 01 (2008), pp 11-19.
arxiv preprint June 2006

"How Riemannian Manifolds Converge: a Survey"
by Christina Sormani
Metric and Differential Geometry: The Jeff Cheeger Anniversary Volume
edited by X. Rong and X. Dai,
Progress in Mathematics Vol 297, 27pp.
arxiv preprint June 2010

Conference Reports:

"Oberwolfach Report: 38/2011"
by Christina Sormani
Partial Differential Equations Workshop
Organized by Ambrosio, Chang, Schatzle and Weiss
copy in pdf and link to full workshop.

"Oberwolfach Report: 37/2012"
by Christina Sormani
Mathematical Aspects of General Relativity Workshop,
Organized by Dafermos, Isenberg and Ringstrom
copy in pdf and link to full workshop.

Physics Proceedings:

"The Stability of the Spacelike Friedmann Model"
by Christina Sormani
Proceedings of the XXVI International Collquium on Group Theoretical Methods in Physics,
Edited by J.L. Birman, S. Catto, and B. Nicolescu, (2009), pp 495-500.
ISBN 978-0-9549846-8-7, preprint.pdf.

For preprints go to my preprints webpage.

Homepage: http://comet.lehman.cuny.edu/sormani