Ravindra Shripad Kulkarni

Ravindra Shripad Kulkarni (born 1942) is an Indian mathematician, specializing in differential geometry. He is known for the Kulkarni–Nomizu product.

For other notable people named "Kulkarni", see Kulkarni.

Education and career

Ravi S. Kulkarni received in 1968 his Ph.D. from Harvard University under Shlomo Sternberg with thesis Curvature and Metric.[1] For the academic year 1980–1981 he was a Guggenheim Fellow.[2]

After a research and teaching career spanning over 40 years in the US at Johns Hopkins University, Columbia University, Indiana University, and City University of New York, he returned to India as Distinguished Professor and Director of Harish-Chandra Research Institute, one of three research institutes for Mathematics and Theoretical Physics in India, followed by a 7-year stint at the Indian Institute of Technology (Bombay) as Mathematics Chair. He is interested in the philosophy of Mathematics and Science, and notes he has “…not yet figured out the enigma of how Ramanujan’s mind worked”.[3]

He has served as the president of the Ramanujan Mathematical Society.[4]

Selected publications
  • Kulkarni, Ravindra S. (1969). "Curvature structures and conformal transformations". Bull. Amer. Math. Soc. 75: 91–94. doi:10.1090/s0002-9904-1969-12155-5. MR 0233306.
  • Kulkarni RS (1972). "Conformally Flat Manifolds". Proc Natl Acad Sci U S A. 69 (9): 2675–2676. Bibcode:1972PNAS...69.2675K. doi:10.1073/pnas.69.9.2675. PMC 427014. PMID 16592016.
  • Kulkarni RS (1975). "On complexification of real manifolds". Proc Natl Acad Sci U S A. 72 (11): 4210. Bibcode:1975PNAS...72.4210K. doi:10.1073/pnas.72.11.4210. PMC 388688. PMID 16592283.
  • Kulkarni, R. S. (1975). "A finite version of Schur's theorem". Proc. Amer. Math. Soc. 53 (2): 440–442. doi:10.1090/s0002-9939-1975-0383295-8. MR 0383295.
  • Kulkarni, R. S. (1975). "Conformal geometry in higher dimensions. I.". Bull. Amer. Math. Soc. 81 (4): 736–738. doi:10.1090/s0002-9904-1975-13847-x. MR 0417980.
  • Kulkarni, R. S. (1980). "On Hurwitz' "84(g – 1) theorem" and pseudofree actions". Bull. Amer. Math. Soc. 2 (2): 303–305. doi:10.1090/s0273-0979-1980-14743-6. MR 0555267.
  • with Allan L. Edmonds & John H. Ewing: Edmonds, Allan L.; Ewing, John H.; Kulkarni, Ravi S. (1986). "Torsion free subgroups of Fuchsian groups and tessellations of surfaces". Bull. Amer. Math. Soc. 6 (3): 456–458. doi:10.1090/s0273-0979-1982-15014-5. MR 0648534.
  • with Allan L. Edmonds & Robert E. Stong: Edmonds, Allan L.; Kulkarni, Ravi S.; Stong, Robert E. (1984). "Realizability of branched coverings of surfaces". Trans. Amer. Math. Soc. 282 (2): 773–790. doi:10.1090/s0002-9947-1984-0732119-5. MR 0732119.
  • with Gregory Constantine: Constantine, Gregory; Kulkarni, Ravi S. (1984). "On a result of S. Delsarte". Proc. Amer. Math. Soc. 92: 149–152. doi:10.1090/s0002-9939-1984-0749907-7. MR 0749907.
  • with Hyman Bass: Bass, Hyman; Kulkarni, Ravi (1990). "On uniform tree lattices". J. Amer. Math. Soc. 3 (4): 843–902. doi:10.1090/s0894-0347-1990-1065928-2. MR 1065928.
  • Kulkarni, Ravi S. (1997). "Riemann surfaces admitting large automorphism groups". Extremal Riemann surfaces (San Francisco, CA, 1995). Contemporary Mathematics. 201. Providence, RI: American Mathematical Society. pp. 63–79. doi:10.1090/conm/201/02610. MR 1429195.
  • with Krishnendu Gongopadhyay: Gongopadhyay, Krishnendu; Kulkarni, Ravi S. (2009). "z-classes of isometries of the hyperbolic space". Conform. Geom. Dyn. 13 (4): 91–109. arXiv:0707.0487. Bibcode:2009CGDAM..13...91G. doi:10.1090/s1088-4173-09-00190-8. MR 2491719.

as editor
  • with Ulrich Pinkall: Conformal geometry. Aspects of Mathematics (proceedings of a seminar on conformal geometry at the Max-Planck Institute in 1985–1986). Braunsweig & Wiesbaden: Friedr. Vieweg & Sohn. 1988.[5]

References
  1. Ravindra Shripad Kulkarni at the Mathematics Genealogy Project
  2. John Simon Guggenheim Fellowship | Ravi S. Kulkarni
  3. A post-performance conversation with Ravi Kulkarni, Pre/Post Shows Archive – Page 7 of 23 – Central Square Theater
  4. Ramanujan Mathematical Society, official website
  5. Goldman, William (1990). "Review: Conformal geometry, eds. Ravi S. Kulkarni and Ulrich Pinkall" (PDF). Bull. Amer. Math. Soc. (N.S.). 23 (2): 566–575. doi:10.1090/S0273-0979-1990-15984-1.
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