Ray Vanstone

James Ray Vanstone (born August 12, 1933 with Owen Sound in Ontario , Canada , † April 9, 2001 in Florida ) was a Canadian mathematician who dealt with differential geometry and multilinear algebra, especially in connection with the theory of relativity.

Vanstone studied at the University of Toronto with a bachelor's and master's degree and received his doctorate in 1959 from the University of Natal in South Africa with Hanno Rund ( Generalized Metric Differential Geometry ). In 1959 he became a lecturer , 1961 assistant professor, 1965 associate professor and 1973 professor at the University of Toronto. In 1995 he retired. He died of a heart attack in his winter Florida home.

With his colleagues in Toronto Stephen Halperin and Werner H. Greub , he wrote a three-volume textbook on differential geometry.

He was visiting professor and researcher at Flinders University in Australia, the University of Western Australia in Perth , the ETH Zurich , the University of Arizona and the University of Mannheim and he was on the board of directors of the Canadian Mathematical Society (CMS) from 1969 to 1972 and 1981 to 1983 ). From 1965 to 1967 he was editor of the Bulletin of the CMS and 1983 to 1988 of the Journal of the CMS.

He was married and had two daughters and two sons.

Fonts (selection)

• with Stephen Halperin, Werner H. Greub: Connections, Curvature and Cohomology, 3 volumes (Volume 1: De Rham Cohomology of Manifolds and Vector Bundles, Volume 2 Lie Groups, Principal Bundles and Characteristic Classes, Volume 3 Cohomology of principal bundles and homogeneous spaces ), Academic Press 1972, 1973, 1976

Web links

• Notes Canadian Mathematical Society, Volume 33, 2001, No. 5, obituary, pdf
• Literature by and about Ray Vanstone in the WorldCat bibliographic database
• John J. O'Connor, Edmund F. Robertson :  Ray Vanstone. In: MacTutor History of Mathematics archive .

Individual evidence

1. ↑ Ray Vanstone in the Mathematics Genealogy Project (English)