Research - Christine Escher

My research focus is in differential geometry and algebraic topology.

Publications

With C. Searle: Non-negatively curved 6-manifolds with almost maximal symmetry rank, arxiv.org/abs/1612.01962.

With C. Searle: Non-negative curvature and torus actions, arxiv.org/abs/1506.08685.
With E. Zhang, V. Jadye, P., P. Wongka, Y. Zhang, X. Gao: Horizon measures: a novel view-independent shape descriptor,
November 2016, SA`16: SIGGRAPH ASIA 2016 Technical Briefs.

With P. Montagantirud: Classifying seven dimensional manifolds of fixed cohomology type , Diff. Geom. and its Appl., 2016, no. 49, 312--325.

With W. Ziller: Topology of non-negatively curved manifolds, Ann. of Global Analysis and Geom., 2014, no. 46, Issue 1, 23-55.

With S. Ultman: Topological structure of candidates for positive curvature, Topology Appl., 2011, no. 1, 38-51.

With T. Chinburg and W. Ziller: Topological properties of Eschenburg spaces and 3-Sasakian spaces, Math. Ann., 2007, no. 339, 3-20.

A diffeomorphism classification of generalized Witten manifolds, Geom. Ded. 2005, no. 115, 79 -- 120.
With D. Crowley: A classification of S^3-bundles over S^4, Diff. Geom. and its Appl., 2003, no. 18, 363 -- 380.
With G. Weingart: Orbits of SU(2) - representations and Minimal Isometric Immersions, Math. Ann., 2000, no. 316, 743 -- 769.
On inhomogeneous spherical space forms, Diff. Geom. Appl. 1999, Volume 11, 39-53.
Rigidity of minimal isometric immersions of spheres into spheres , Geom. Ded. 1998, Volume 73, 275-293.
Minimal isometric immersions of inhomogeneous space forms , Trans. Amer. Math. Soc. 1996, Volume 348, Number 9, pp. 3713-3731.

Preprints

With J. Martin, K. Davis and B. E. Law: Correcting for scaling errors associated with gap based dendrometer bands .

My Google Citations

Programs

Algorithm to check for minimal isometric immersions of inhomogeneous lens spaces into spheres.
Algorithm to solve the linear system used to determine infinitesimal uniqueness of the degree 6 immersion into S^6.