Search Results - O'Neill, Barrett
Barrett O'Neill
![Barrett O'Neill in 1980](https://upload.wikimedia.org/wikipedia/commons/3/3b/Barrett_O%27Neill_1980_%28portioned%29.jpg)
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'' He has worked as a professor of mathematics at UCLA, where he supervised the PhDs of eight doctoral students.
He made a foundational contribution to the theory of Riemannian submersions, showing how geometric quantities on the total space and on the base are related to one another. "O'Neill's formula" refers to the relation between the sectional curvatures. O'Neill's calculations simplified earlier work by other authors, and have become standard textbook material. With Richard Bishop, he applied his submersion calculations to the geometry of warped products, in addition to studying the fundamental role of convex functions and convex sets in Riemannian geometry, and for the geometry of negative sectional curvature in particular. An article with his former Ph.D. student Patrick Eberlein made a number of further contributions to the Riemannian geometry of negative curvature, including the notion of the "boundary at infinity". Provided by Wikipedia
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Elementary differential geometry by O'Neill, Barrett
Published: Academic Press, 1966Description: viii, 411 pages : illustrations ; 24 cm.Call Number: Loading…
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Semi-Riemannian geometry : with applications to relativity by O'Neill, Barrett
Published: Academic Press, 1983Description: xiii, 468 pages ; 24 cm.Call Number: Loading…Publisher description -
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Semi-Riemannian geometry : with applications to relativity by O'Neill, Barrett
Published: Academic Press, 1983Description: 1 online resource (xiii, 468 pages).Call Number: Loading…Elsevier - Click here for access
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4
Elementary differential geometry Rev. 2nd ed. by O'Neill, Barrett
Published: Elsevier Academic Press, 2006Description: 1 online resource (xi, 503 pages) : illustrations.Call Number: Loading…Elsevier - Click here for access
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5
Elementary differential geometry by O'Neill, Barrett
Published: Academic Press, 1966Description: 1 online resource (viii, 411 pages) : illustrations.Call Number: Loading…Elsevier - Click here for access
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eBook