Most of my research is concerned with global Riemannian and metric geometry, much of it at the interface between geometry and topology. It includes existence theory of geodesics, comparison theory, relations between curvature, symmetry and topology, properties and constructions of positively and nonnegatively curved manifolds, and most recently relations to Tits geometry and buildings.
2. Keywords
Riemannian geometry
metric geometry
3. Current PhD students.
Joseph Yeager (Maryland)
John Harvey
Xiaoyang Chen
Renato Bettiol
4. Former PhDs
P. Petersen (1987, UCLA)
K.S. Park (1988, Keimyong U., Korea)
C. Plaut (1989, UTenessee)
J. McGowan (1991, Howard U.)
F. Wilhelm (1992, UCRiverside)
C. Searle (1992, UNAM Cuernavaca, Mexico)
M. Cho (1994, Korea Nat. U. Ed., Korea)
L. Guijarro (1995, U Autonoma de Madrid, Spain)
V. Kapovitch (1997, UToronto, Canada)
K. Shankar (1999, UOklahoma)
E. Swarz (1999, Cornell U)
W. Jimenez (2005, NSA)
F. Galaz Garcia (2009, UM\"{u}nster, Germany)
B. Afsari (2009, John Hopkins U)(with Krishnaprasad EE Maryland)