Ravindra Shripad Kulkarni Explained

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

Education and career

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

He has served as the president of the Ramanujan Mathematical Society.^[2]

Selected publications

• Curvature structures and conformal transformations. Bulletin of the American Mathematical Society. 1969. 75. 91–94. 0233306. 10.1090/s0002-9904-1969-12155-5. Kulkarni. Ravindra S.. free.
• Conformally Flat Manifolds. Proceedings of the National Academy of Sciences. 1972. 69. 9. 2675–2676. 427014. 16592016. Kulkarni RS. 10.1073/pnas.69.9.2675. 1972PNAS...69.2675K. free.
• On complexification of real manifolds. Proceedings of the National Academy of Sciences. 1975. 72. 11. 4210. 388688. 16592283. Kulkarni RS. 10.1073/pnas.72.11.4210. 1975PNAS...72.4210K. free.
• A finite version of Schur's theorem. Proceedings of the American Mathematical Society. 1975. 53. 2. 440–442. 0383295. 10.1090/s0002-9939-1975-0383295-8. Kulkarni. R. S.. free.
• Conformal geometry in higher dimensions. I.. Bulletin of the American Mathematical Society. 1975. 81. 4. 736–738. 0417980. 10.1090/s0002-9904-1975-13847-x. Kulkarni. R. S.. free.
• On Hurwitz' "84(g – 1) theorem" and pseudofree actions. 1980. 2. 2. 303–305. 555267. 10.1090/s0273-0979-1980-14743-6. Kulkarni. R. S.. free.
• with Allan L. Edmonds & John H. Ewing: Torsion free subgroups of Fuchsian groups and tessellations of surfaces. Bulletin of the American Mathematical Society. 1986. 6. 3. 456–458. 648534. 10.1090/s0273-0979-1982-15014-5. Edmonds. Allan L.. Ewing. John H.. Kulkarni. Ravi S.. free.
• with Allan L. Edmonds & Robert E. Stong: Realizability of branched coverings of surfaces. Transactions of the American Mathematical Society. 1984. 282. 2. 773–790. 732119. 10.1090/s0002-9947-1984-0732119-5. Edmonds. Allan L.. Kulkarni. Ravi S.. Stong. Robert E.. free.
• with Gregory Constantine: On a result of S. Delsarte. Proceedings of the American Mathematical Society. 1984. 92. 149–152. 749907. 10.1090/s0002-9939-1984-0749907-7. Constantine. Gregory. Kulkarni. Ravi S.. free.
• with Hyman Bass: On uniform tree lattices. Journal of the American Mathematical Society. 1990. 3. 4. 843–902. 1065928. 10.1090/s0894-0347-1990-1065928-2. Bass. Hyman. Kulkarni. Ravi. free.
• Kulkarni . Ravi S. . Riemann surfaces admitting large automorphism groups . 10.1090/conm/201/02610 . 1429195 . 63–79 . American Mathematical Society . Providence, Rhode Island . Contemporary Mathematics . Extremal Riemann surfaces (San Francisco, California, 1995) . 201 . 1997. free .
• with Krishnendu Gongopadhyay: z-classes of isometries of the hyperbolic space. Conformal Geometry and Dynamics . 2009. 13. 4. 91–109. 2491719. 10.1090/s1088-4173-09-00190-8. 0707.0487. 2009CGDAM..13...91G. Gongopadhyay. Krishnendu. Kulkarni. Ravi S.. 13568444.

as editor

• with Ulrich Pinkall: Book: Conformal geometry. Aspects of Mathematics (proceedings of a seminar on conformal geometry at the Max-Planck Institute in 1985–1986). Friedr. Vieweg & Sohn. Braunsweig & Wiesbaden. 1988. ^[3]

External links

• Conformal Geometry and Riemann Surfaces: A Conference in Honor of Professor Ravi S. Kulkarni, posted 28 October 2013

Notes and References

1. http://www.gf.org/fellows/all-fellows/ravi-s-kulkarni/ John Simon Guggenheim Fellowship | Ravi S. Kulkarni
2. http://www.ramanujanmathsociety.org Ramanujan Mathematical Society, official website
3. Goldman, William. Review: Conformal geometry, eds. Ravi S. Kulkarni and Ulrich Pinkall. Bulletin of the American Mathematical Society. New Series. 1990. 23. 2. 566–575. 10.1090/S0273-0979-1990-15984-1 . free.