Proceedings of the National Academy of Sciencesâ€¦

1985

Restrictions are given on the possible marked Dynkin diagrams of isoparametric submanifolds, and their homology and cohomology are computed by an extension of the techniques used by Bott and Samelsonâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1997

SchrÃ¶dinger's equation of a three-body system is a linear partial differential equation (PDE) defined on the 9-dimensional configuration space, R9, naturally equipped with Jacobi's kinematic metricâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1982

Mean curvature is one of the simplest and most basic of local differential geometric invariants. Therefore, closed hypersurfaces of constant mean curvature in euclidean spaces of high dimension areâ€¦ (More)

This paper presents a survey of medical imaging techniques currently available and highlights their advantages and disadvantages. It focuses on the aspect of medical imaging which uses a diffractingâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1984

Within the framework of equivariant differential geometry, we outline the construction of some imbedded minimal hyperspheres of S(n)(1) and show that many of them have a stable cone in R(n+1). Theâ€¦ (More)