# Alfred Gray (mathematician)

Alfred Gray ( born October 22, 1939 in Dallas, † October 27th 1998 in Bilbao) was an American mathematician who dealt with differential geometry.

## Life

Gray studied mathematics at the University of Kansas and was founded in 1964 at the University of California, Berkeley at Leo Sario ( and Barrett O'Neill ) PhD (Dissertation: Minimal varieties and Kähler submanifolds ). As a post - graduate student, he spent four years at the University of California, Berkeley. From 1970 until his death he was a professor at the University of Maryland, College Park. He died of a heart attack while working with students in Bilbao.

Gray dealt among other things with the classification of geometric structures such as Kähler manifolds and almost - Hermitian manifolds; doing so he introduced the concept of fast Kähler manifold ( Nearly Kähler manifold ). He also dealt with the calculation of volumes of balls and tubes ( in extension of the theory of Hermann Weyl ), about which he published a book with curvature identities and topological obstructions to the existence of geometric structures, for example, for complex structures on compact manifolds.

He was a pioneer in the use of computer graphics in the teaching of differential geometry, and published books on the theory of differential geometry and differential equations with computer assistance (Mathematica ).

## Writings

- Tubes, Addison -Wesley, 1990, 2nd edition Birkhäuser 2004
- Elsa Abbena, Simon Salamon Modern differential geometry of curves and surfaces with Mathematica, 3rd edition, Studies in Advanced Mathematics, Chapman and Hall, Boca Raton 2006 ( first 1993)
- Michael Mezzino, Mark A. Pinsky Introduction to ordinary differential equations with Mathematica: an integrated multimedia approach, Springer Verlag 1997
- Differential Geometry: classical theory in modern representation, Spektrum Akademischer Verlag 1994 (Editor Hubert Gollek )
- Notes on the use of Mathematica in Mark Pinsky partial differential equations and boundary- value problems with applications, McGraw Hill 1991