Richard L. Bishop
Appearance
Richard L. Bishop | |
---|---|
University of Illinois at Urbana–Champaign | |
Doctoral advisor | Isadore Singer |
Doctoral students | Stephanie B. Alexander |
Website | http://www.math.uiuc.edu/~bishop/ |
Richard Lawrence Bishop (August 12, 1931 – December 18, 2019) was an American
University of Illinois at Urbana–Champaign
.
Bishop went to
Case Institute of Technology as an undergraduate, earning a B.S. in 1954. Next he earned his Ph.D. from the Massachusetts Institute of Technology in 1959, and immediately joined the UIUC faculty,[2] where he stayed until his retirement in 1997.[1] His thesis, On Imbeddings and Holonomy, was supervised by Isadore Singer.[3] At UIUC, his doctoral students included future UIUC colleague Stephanie B. Alexander.[3] He is the author of Geometry of Manifolds (with Richard J. Crittenden, AMS Chelsea Publishing, 1964,[4] translated into Russian 1967[5] and reprinted 2001[6]) and Tensor Analysis on Manifolds (with Samuel I. Goldberg, Macmillan, 1968,[7] reprinted by Dover Books on Mathematics, 1980[8]
).
In 2013, Bishop became one of the inaugural fellows of the American Mathematical Society.[9]
The
warped products
.
Notable publications
- R.L. Bishop and B. O'Neill. Manifolds of negative curvature. Trans. Amer. Math. Soc. 145 (1969), 1–49.
- Richard L. Bishop. There is more than one way to frame a curve. Amer. Math. Monthly 82 (1975), 246–251. doi:10.2307/2319846
- Richard L. Bishop and Richard J. Crittenden. Geometry of manifolds. Reprint of the 1964 original. AMS Chelsea Publishing, Providence, RI, 2001. xii+273 pp. doi:10.1090/chel/344
References
- ^ a b "Richard Bishop: Obituary". Retrieved 2021-03-04.
- ^ Information from Bishop's web page at UIUC, retrieved 2014-06-16.
- ^ a b Richard Lawrence Bishop at the Mathematics Genealogy Project
- MR0169148
- MR0213981
- ^ 1852066
- MR0224010
- MR0615912
- ^ List of Fellows of the American Mathematical Society, retrieved 2014-06-16.