# Karsten Grove

Rev. Howard J. Kenna, C.S.C. Professor of Mathematics

Cand. Scient., Aarhus University, 1971

Lic.Scient., Aarhus University, 1974

Email: grove.16@nd.edu

Office: 276A Hurley Hall

Phone: (574) 631-6641

Fax: (574) 631-6579

**Research Interests**

Metric and Differential Geometry, Topology and Geometric Analysis.

**Selected Publications**

- (with H. Karcher)
*How to conjugate C^1- close group actions,*Math. Z. 132 (1973), 11-20 - (with K. Shiohama)
*A generalized sphere theorem,*Ann. of Math. 106 (1977), 201-211 - (with S. Halperin)
*Contributions of rational homotopy theory to global problems in geometry,*Publ. Math. de l’I.H.E.S. 56 (1982), 379-385 - (with P. Petersen)
*Bounding homotopy types by geometry,*Ann. of Math. 128 (1988), 195-206 - (with F. Wilhelm)
*Metric constraints on exotic spheres via Alexandrov geometry,*J. reine angew.Math (Crelle), 487 (1997), 201-217. - (with Burkhard Wilking and W. Ziller)
*Positively curved cohomogeneity one manifolds and 3-Sasakian geometry,*J. Differential Geometry 78 (2008), 33-111.

Please direct questions and comments to: grove.16@nd.edu