Publications & Preprints of Krishnan Shankar.



  1. K. Shankar, On the Fundamental Groups of Positively Curved Manifolds , J. Differential Geom., 49 (1998), 179-182.

  1. K. Grove and K. Shankar, Rank Two Fundamental Groups of Positively Curved Manifolds , J. Geometric Analysis, 10 (2000), 679-682.

  1. J. Pakianathan and K. Shankar, Nilpotent Numbers , Amer. Math. Monthly, 107 , August-September 2000, 631-634.

  1. K. Shankar, Isometry Groups of Homogeneous, Positively Curved Manifolds , Differential Geom. & Appl., 14 (1) (2001), 57-78.

  1. N. Kitchloo and K. Shankar, On Complexes Equivalent to S^3 -bundles over S^4 , International Math. Res. Notices, 8 (2001), 381-394.

  1. K. Shankar, Strong inhomogeneity of Eschenburg spaces (with an Appendix by Mark Dickinson and Krishnan Shankar), Mich. Math. J., 50 (1) (2002), 125--142.

  1. J.-H. Eschenburg, A. Kollross and K. Shankar, Free, isometric circle actions on compact, symmetric spaces , Geometriae Dedicata, 102 (2003), 35--44.

  1. S. Goette, N. Kitchloo, K. Shankar, Diffeomorphism type of the Berger space , American Journal of Mathematics, 126 no. 2 (2004), 395--416.

  1. K. Shankar, K. Tapp, W. Tuschmann, Nonnegatively and positively curved metrics on circle bundles , Proceedings of the AMS, 133 (8) (2005), 2449--2459.

  1.  K. Shankar, R. Spatzier, B. Wilking, Spherical rank rigidity and Blaschke manifolds, Duke Mathematical Journal, 128 no. 1 (2005), 65--81.

  1.  K. Grove, K. Shankar, W. Ziller, Symmetries of Eschenburg spaces and the Chern Problem, Asian J. Math., vol. 10 (Chern memorial volume), to appear.

  1.  N. Brady, M. Bridson, M. Forester, K. Shankar, Isoperimetric spectra associated to higher dimensional Dehn functions of groups , preprint.

  1.  J. Rosen, K. Shankar, J. Thomas Square roots, continued fractions and the orbit of 1/0 on the boundary of the hyperbolic plane , preprint.