T
Thomas A. Ivey
Researcher at College of Charleston
Publications - 74
Citations - 1628
Thomas A. Ivey is an academic researcher from College of Charleston. The author has contributed to research in topics: Ricci flow & Integrable system. The author has an hindex of 17, co-authored 73 publications receiving 1477 citations. Previous affiliations of Thomas A. Ivey include Ball State University & University of California, San Diego.
Papers
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Journal ArticleDOI
Ricci solitons on compact three-manifolds
TL;DR: In this article, it was shown that there are no compact three-dimensional Ricci solitons other than spaces of constant curvature, which generalizes a result obtained for surfaces by Hamilton.
Book
Cartan for beginners
TL;DR: In this article, Cartan-Kahler et al. present the Cartan algorithm for linear Pfaffian systems for moving frames and exterior differential systems in projective geometry.
Journal ArticleDOI
New examples of complete Ricci solitons
TL;DR: The Ricci soliton condition reduces to a set of ODEs when one assumes that the metric is a doubly-warped product of a ray with a sphere and an Einstein manifold as discussed by the authors.
MonographDOI
Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Second Edition
TL;DR: In this article, the Frobenius Theorem p.6.14.6 should begin with a connected Lie group and displayed equation should read dωe(X,Y ) = −[X, Y ] (not +)
Journal ArticleDOI
Knot Types, Homotopies and Stability of Closed Elastic Rods
Thomas A. Ivey,David A. Singer +1 more
TL;DR: In this paper, the energy minimization problem associated to uniform, isotropic, linearly elastic rods leads to a geometric variational problem for the rod centerline, whose solutions include closed, knotted curves.