Ravindra Shripad Kulkarni

{{Short description|Indian mathematician (born 1942)}}

{{For|other notable people named "Kulkarni"|Kulkarni}}

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.{{MathGenealogy|id=35492}} For the academic year 1980–1981 he was a Guggenheim Fellow.[http://www.gf.org/fellows/all-fellows/ravi-s-kulkarni/ John Simon Guggenheim Fellowship | Ravi S. Kulkarni]

{{blockquote|After a research and teaching career spanning over 40 years in the US at Johns Hopkins University, Columbia University, Indiana University Bloomington, Queens College of the City University of New York and the Graduate Center of the 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”.[https://www.centralsquaretheater.org/central-conversations/post-performance-conversation-ravi-kulkarni A post-performance conversation with Ravi Kulkarni, Pre/Post Shows Archive – Page 7 of 23 – Central Square Theater]}}

He has served as the president of the Ramanujan Mathematical Society.[http://www.ramanujanmathsociety.org Ramanujan Mathematical Society, official website]

Selected publications

  • {{cite journal|title=Curvature structures and conformal transformations|journal=Bulletin of the American Mathematical Society|year=1969|volume=75|pages=91–94|mr=0233306|doi=10.1090/s0002-9904-1969-12155-5|last1=Kulkarni|first1=Ravindra S.|doi-access=free}}
  • {{cite journal|title=Conformally Flat Manifolds|journal=Proceedings of the National Academy of Sciences|year=1972|volume=69|issue=9|pages=2675–2676|pmc=427014|pmid=16592016|author=Kulkarni RS|doi=10.1073/pnas.69.9.2675|bibcode=1972PNAS...69.2675K|doi-access=free}}
  • {{cite journal|title=On complexification of real manifolds|journal=Proceedings of the National Academy of Sciences|year=1975|volume=72|issue=11|pages=4210|pmc=388688|pmid=16592283|author=Kulkarni RS|doi=10.1073/pnas.72.11.4210|bibcode=1975PNAS...72.4210K|doi-access=free}}
  • {{cite journal|title=A finite version of Schur's theorem|journal=Proceedings of the American Mathematical Society|year=1975|volume=53|issue=2|pages=440–442|mr=0383295|doi=10.1090/s0002-9939-1975-0383295-8|last1=Kulkarni|first1=R. S.|doi-access=free}}
  • {{cite journal|title=Conformal geometry in higher dimensions. I.|journal=Bulletin of the American Mathematical Society|year=1975|volume=81|issue=4|pages=736–738|mr=0417980|doi=10.1090/s0002-9904-1975-13847-x|last1=Kulkarni|first1=R. S.|doi-access=free}}
  • {{cite journal|title=On Hurwitz' "84(g – 1) theorem" and pseudofree actions|journal=|year=1980|volume=2|issue=2|pages=303–305|mr=555267|doi=10.1090/s0273-0979-1980-14743-6|last1=Kulkarni|first1=R. S.|doi-access=free}}
  • with Allan L. Edmonds & John H. Ewing: {{cite journal|title=Torsion free subgroups of Fuchsian groups and tessellations of surfaces|journal=Bulletin of the American Mathematical Society|year=1986|volume=6|issue=3|pages=456–458|mr=648534|doi=10.1090/s0273-0979-1982-15014-5|last1=Edmonds|first1=Allan L.|last2=Ewing|first2=John H.|last3=Kulkarni|first3=Ravi S.|doi-access=free}}
  • with Allan L. Edmonds & Robert E. Stong: {{cite journal|title=Realizability of branched coverings of surfaces|journal=Transactions of the American Mathematical Society|year=1984|volume=282|issue=2|pages=773–790|mr=732119|doi=10.1090/s0002-9947-1984-0732119-5|last1=Edmonds|first1=Allan L.|last2=Kulkarni|first2=Ravi S.|last3=Stong|first3=Robert E.|doi-access=free}}
  • with Gregory Constantine: {{cite journal|title=On a result of S. Delsarte|journal=Proceedings of the American Mathematical Society|year=1984|volume=92|pages=149–152|mr=749907|doi=10.1090/s0002-9939-1984-0749907-7|last1=Constantine|first1=Gregory|last2=Kulkarni|first2=Ravi S.|doi-access=free}}
  • with Hyman Bass: {{cite journal|title=On uniform tree lattices|journal=Journal of the American Mathematical Society|year=1990|volume=3|issue=4|pages=843–902|mr=1065928|doi=10.1090/s0894-0347-1990-1065928-2|last1=Bass|first1=Hyman|last2=Kulkarni|first2=Ravi|doi-access=free}}
  • {{cite conference

| last = Kulkarni | first = Ravi S.

| contribution = Riemann surfaces admitting large automorphism groups

| doi = 10.1090/conm/201/02610

| mr = 1429195

| pages = 63–79

| publisher = American Mathematical Society | location = Providence, Rhode Island

| series = Contemporary Mathematics

| title = Extremal Riemann surfaces (San Francisco, California, 1995)

| volume = 201

| year = 1997| doi-access = free

| isbn = 978-0-8218-0514-5

}}

  • with Krishnendu Gongopadhyay: {{cite journal|title=z-classes of isometries of the hyperbolic space|journal=Conformal Geometry and Dynamics |year=2009|volume=13|issue=4|pages=91–109|mr=2491719|doi=10.1090/s1088-4173-09-00190-8|arxiv=0707.0487|bibcode=2009CGDAM..13...91G|last1=Gongopadhyay|first1=Krishnendu|last2=Kulkarni|first2=Ravi S.|s2cid=13568444}}

=as editor=

  • with Ulrich Pinkall: {{cite book|title=Conformal geometry|series=Aspects of Mathematics (proceedings of a seminar on conformal geometry at the Max-Planck Institute in 1985–1986)|publisher=Friedr. Vieweg & Sohn|location=Braunsweig & Wiesbaden|year=1988}}{{cite journal|author=Goldman, William|title=Review: Conformal geometry, eds. Ravi S. Kulkarni and Ulrich Pinkall|journal=Bulletin of the American Mathematical Society|series=New Series|year=1990|volume=23|issue=2|pages=566–575|url=https://www.ams.org/journals/bull/1990-23-02/S0273-0979-1990-15984-1/S0273-0979-1990-15984-1.pdf|doi=10.1090/S0273-0979-1990-15984-1 |doi-access=free}}

References

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