Barrett O'Neill

Barrett O'Neill (1924– 16 June 2011) was an American mathematician.[1] He is known for O'Neill's formula and for his collaborations with Richard L. Bishop.[2]

Career

He received his Ph.D. in mathematics in 1951 from the Massachusetts Institute of Technology. His doctoral advisor was Witold Hurewicz. His dissertation thesis was titled Some Fixed Point Theorems[3] He has worked as a professor of mathematics at UCLA, where supervised the PhDs of eight doctoral students.[3]

Publications
  • O'Neill, Barrett. Elementary differential geometry. Revised second edition.Elsevier/Academic Press, Amsterdam, 2006.
  • O'Neill, Barrett. The geometry of Kerr black holes. A K Peters, Ltd., Wellesley, MA, 1995.
  • O'Neill, Barrett. Semi-Riemannian geometry. With applications to relativity. Pure and Applied Mathematics, 103. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983.
  • Eberlein, P.; O'Neill, B. Visibility manifolds. Pacific J. Math. 46 (1973), 45--109.
  • Motzkin, T. S.; O'Neill, Barret; Straus, E. G. Isolated subgroups. Michigan Math. J. 20 (1973), 235--248.
  • Bishop, R. L.; O'Neill, B. Manifolds of negative curvature. Trans. Amer. Math. Soc. 145 1969 1--49.
  • O'Neill, Barrett. Reviews: Tensor Analysis on Manifolds. Amer. Math. Monthly 76 (1969), no. 8, 956--957.
  • O'Neill, Barrett. Construction of Riemannian coverings. Proc. Amer. Math. Soc.19 1968 1278--1282.
  • O'Neill, Barrett. Submersions and geodesics. Duke Math. J. 34 1967 363--373.
  • O'Neill, Barrett. The fundamental equations of a submersion. Michigan Math. J.13 1966 459--469.
  • O'Neill, Barrett. Isotropic and Kähler immersions. Canad. J. Math. 17 1965 907--915.
  • O'Neill, Barrett. Umbilics of constant curvature immersions. Duke Math. J. 321965 149--159.
  • O'Neill, Barrett; Stiel, Edsel. Isometric immersions of constant curvature manifolds. Michigan Math. J. 10 1963 335--339.
  • O'Neill, Barrett. Isometric immersion of flat Riemannian manifolds in Euclidean space. Michigan Math. J. 9 1962 199--205.
  • O'Neill, Barrett. Immersion of manifolds of non-positive curvature. Proc. Amer. Math. Soc. 11, 1960 132--134.
  • O'Neill, Barrett. An algebraic criterion for immersion. Pacific J. Math. 9 1959 1239--1247.
  • O'Neill, Barrett. On the Leray isomorphism theorem. Proc. Amer. Math. Soc. 91958 460--462.
  • O'Neill, Barrett. Induced homology homomorphisms for set-valued maps.Pacific J. Math. 7 1957 1179--1184.
  • O'Neill, B.; Straus, E. G. A fixed point theorem. Proc. Amer. Math. Soc. 8 1957 1148--1151.
  • O'Neill, Barrett. A fixed point theorem for multi-valued functions. Duke Math. J. 24 (1957), 61--62.
  • O'Neill, Barrett. Essential sets and fixed points. Amer. J. Math. 75, (1953). 497--509.
  • O'Neill, Barrett. SOME FIXED POINT THEOREMS. Thesis (Ph.D.)–Massachusetts Institute of Technology. ProQuest LLC, Ann Arbor, MI, 1952.

References
  1. "Barrett O'NEILL's Obituary on Los Angeles Times". legacy.com. Retrieved 30 March 2017.
  2. "In memoriam: Barrett O'Neill Professor of Mathematics, Emeritus, 1924 – 2011 – UCLA Department of Mathematics". ucla.edu. Retrieved 30 March 2017.
  3. "Barrett O'Neill – The Mathematics Genealogy Project". nodak.edu. Retrieved 30 March 2017.
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