Holy Cross Mathematics

Recent Publications for Thomas E. Cecil

Books

1. Tight and Taut Immersions of Manifolds (with P.J. Ryan), Research Notes in Mathematics 107, Pitman, London, 1985
2. Lie Sphere Geometry, Springer Verlag, New York, 1992.
3. Tight and Taut Submanifolds (T. Cecil and S.-S. Chern, eds.) MSRI Publications 32, Cambridge University Press, 1997.

Recent Articles

1. Focal Points and Support Functions in Affine Differential Geometry, Geometriae Dedicata 50 (1994), 291-300.
2. An Affine Characterization of the Veronese Surface (with M. Magid, L. Vrancken), Geometriae Dedicata 57 (1995), 55-71.
3. Dupin Hypersurfaces (with G. Jensen) Geometry and Topology of Submanifolds VII, 100-107, World Scientific, River Edge, NJ, 1995.
4. Taut and Dupin Submanifolds, Tight and Taut Submanifolds, MSRI Publications 32, 135-180, Cambridge University Press, 1997.
5. Dupin Hypersurfaces with Three Principal Curvatures (with G. Jensen), Inventiones Mathematicae 132 (1998), 121-178.
6. Dupin Hypersurfaces with Four Principal Curvatures (with G. Jensen), Geometriae Dedicata 79 (2000), 1-49.
7. Isoparametric Hypersurfaces with Four Principal Curvatures (with Q.-S. Chi and G. Jensen), Annals of Math 166 (2007), 1-76.
8. Dupin Hypersurfaces with Four Principal Curvatures II (with Q.-S. Chi and G. Jensen), Geometriae Dedicata 128 (2007), 55-95.
9. On Kuiper's Question Whether Taut Submanifolds are Algebraic (with Q.-S. Chi and G. Jensen), to appear in Pacific J. Math.

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