Kristopher Tapp Work Department of Mathematics Williams College Williamstown, MA 01267 ----- On leave visiting University of Pennsylvania 2006-2007. ktapp (at) williams.edu

Research Papers and Preprints:

Flats in Riemannian Submersions from Lie groups Preprint.	PDF
Invariant Metrics with Nonnegative Curvature on SO(4) and other Lie groups With Jack Huizenga, Michigan Math. Journal, to appear.	PDF
Nonnegatively curved vector bundles with large normal holonomy groups Proc. Amer. Math. Soc., to appear.	PDF
Obstructions to Positive Curvature on Homogeneous Bundles Geometriae Dedicata. 119, no. 1 (2006) 105-112.	PDF
Quasi-positive curvature on homogeneous bundles Journal of Differential Geometry. 65 (2003) 273-287.	PDF
Invariant Metrics with Nonnegative Curvature on Compact Lie Groups. With Brown, Finck, Spencer, Wu. Canadian Mathematical Bulletin, to appear.	PDF
Rigidity for nonnegatively curved metrics on S^2xR^3 Annals of Global Analysis and Geometry. 25 (2004) 43-58.	PDF
Nonnegatively and positively curved invariant metrics on circle bundles With Krishnan Shankar and Wilderich Tuschmann. Proc. Amer. Math. Soc. 133 (2005) 2449-2459.	PDF
Nonnegatively curved metrics on S^2 x R^2 With Detlef Gromoll Geometriae Dedicata 99 (2003), pp. 127-136.	PDF
Volume growth and holonomy in nonnegative curvature. Proc. Amer. Math. Soc. 127 (1999), no. 10, pp. 3035—3041.	PDF
Bounded Riemannian Submersions. Indiana University Mathematics Journal, Vol. 49, No. 2 (Summer) 2000, 637—654.	PDF
Finiteness Theorems for Submersions and Souls. Proc. Amer. Math. Soc., Vol. 130 (2002), no. 6, 1809--1817.	PDF
Conditions for Nonnegative Curvature on Vector Bundles and Sphere Bundles. Duke Math. Journal. 116, no. 1 (2003), 77-101.	PDF
The Geometry of Open Manifolds of Nonnegative Curvature. Ph.D. Thesis, University of Pennsylvania, 1999.	PDF