Richard L. Bishop

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Richard L. Bishop
University of Illinois at Urbana–Champaign
Doctoral advisorIsadore Singer
Doctoral studentsStephanie B. Alexander
Websitehttp://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.
  • Richard L. Bishop and Richard J. Crittenden. Geometry of manifolds. Reprint of the 1964 original. AMS Chelsea Publishing, Providence, RI, 2001. xii+273 pp.

References