In this paper, we consider general [italic]S¹-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S¹-degree is given by the usual degree of the invariant part, while…
In this paper, we consider general [italic]S¹-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S¹-degree is given by the usual degree of the invariant part, while…
The Hamiltonian X([vertical line][delta]tu[vertical line]2+[vertical line][delta]u[vertical line]2+m2[vertical line]u[vertical line]2) dx, defined on functions on R x X, where X is a compact manifold, has critical points which are solutions of the linear Klein-Gordon equation. W…
The Hamiltonian X([vertical line][delta]tu[vertical line]2+[vertical line][delta]u[vertical line]2+m2[vertical line]u[vertical line]2) dx, defined on functions on R x X, where X is a compact manifold, has critical points which are solutions of the linear Klein-Gordon equation. W…
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by United States., Department of Energy, Epstein, D. B. A., Munzner, Tamara, Levy, Silvio, Hays, Chery, Gunn, Charlie, Maxwell, Delle, Geometry Supercomputer Project, Thurston, William P., Ben-Zvi, David, Headrick, Matt, McNenny, Karen, Cordova, Paul de, University of Minnesota., Geometry Center, AK Peters, Ltd, Lamb & Company, RenderMan Pixar, Inc, Softimage, Inc, KTCA-TV (Television station : Saint Paul, Minn.), National Science Foundation
"This package includes a DVD of two award-winning computer animations of mathematical concepts and theorems, as well as supplementary material. Not Knot: This animation is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to its complemen…
"In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equation is known as the Ricci flow, and it has since been used widely and with great success, most notably in Perelman's…
