Overview
biography
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Philippe Rukimbira is a Professor in Mathematics and Statistics.
PhD, 1991, Penn State University
research interests
- Differential Geometry
Scholarly & Creative Works
selected scholarly works & creative activities
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Article
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2016Holonomy and contact geometry. JOURNAL OF GEOMETRY. 107:125-135.Full Text via DOI: 10.1007/s00022-015-0279-x Web of Science: 000372414100008
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2015Isoparametric functions, harmonic and minimal unit vector fields in K-contact geometry. JOURNAL OF GEOMETRY. 106:97-107.Full Text via DOI: 10.1007/s00022-014-0236-0 Web of Science: 000211757900009
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2012Parallelism in K-contact geometry. JOURNAL OF GEOMETRY. 103:119-123.Full Text via DOI: 10.1007/s00022-012-0119-1 Web of Science: 000211748300007
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2011Contact deformations of closed 1-forms on T-2-bundles over S-1. ADVANCES IN GEOMETRY. 11:131-137.Full Text via DOI: 10.1515/ADVGEOM.2010.043 Web of Science: 000286806600007
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2004Foliations and contact structures. ADVANCES IN GEOMETRY. 4:75-81.Full Text via DOI: 10.1515/advg.2004.008 Web of Science: 000188007600007
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2002Criticality of K-contact vector fields. JOURNAL OF GEOMETRY AND PHYSICS. 40:209-214.Full Text via DOI: 10.1016/S0393-0440(01)00035-3 Web of Science: 000172387100002
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2001Correction to spherical rigidity via contact dynamics. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. 8:147-153.Full Text via DOI: 10.36045/bbms/1102714039 Web of Science: 000167545400018
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2000Spherical rigidity via Contact dynamics. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. 7:563-569.Full Text via DOI: 10.36045/bbms/1103055616 Web of Science: 000166388100008
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1999On K-contact manifolds with minimal number of closed characteristics. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 127:3345-3351.Full Text via DOI: 10.1090/S0002-9939-99-05217-X Web of Science: 000081959000028
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1998A characterization of flat contact metric geometry. HOUSTON JOURNAL OF MATHEMATICS. 24:409-414.Web of Science: 000086769500003
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1995On characteristics of circle-invariant presymplectic forms. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 123:3901-3906.Full Text via DOI: 10.2307/2161922 Web of Science: A1995TM66500043
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1995Vertical sectional curvature and K-contactness. JOURNAL OF GEOMETRY. 53:163-166.Full Text via DOI: 10.1007/BF01224048
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1995Chern-Hamilton's conjecture and K-contactness. HOUSTON JOURNAL OF MATHEMATICS. 21:709-718.Web of Science: A1995TR62300005
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1995On characteristics of circle-invariantp resymplecticf orms. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 123:3901-3906.Full Text via DOI: 10.1090/S0002-9939-1995-1307491-0
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1995Topology and closed characteristics of K-contact manifolds.. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. 2:349-356.Full Text via DOI: 10.36045/bbms/1103408725
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1994Weak stability of almost regular contact foliations. JOURNAL OF GEOMETRY. 50:16-27.Full Text via DOI: 10.1007/BF01222659
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1994The dimension of leaf closures of K-contact flows. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. 12:103-108.Full Text via DOI: 10.1007/BF02108291
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1993Some remarks on R-contact flows. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. 11:165-171.Full Text via DOI: 10.1007/BF00773454
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Book Chapter
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2009The 1-Nullity of Sasakian Manifolds. 153-159.Full Text via DOI: 10.1007/978-0-8176-4743-8_7 Web of Science: 000262095900007
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2003Energy, volume and deformation of contact metrics. 129-143.Full Text via DOI: 10.1090/conm/337/06057
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Conference
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2002CRITICALITY OF UNIT CONTACT VECTOR FIELDS. 105-115.Full Text via DOI: 10.1142/9789812777089_0008
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2000Contact metric geometry characterization of the odd-dimensional spheres. 138-141.Web of Science: 000165398400008
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Preprint
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2012Sasakian metrics with an additional contact structureFull Text via DOI: 10.48550/arxiv.1212.6581
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2008Contact deformations of closed 1-forms on Torus bundles over the circleFull Text via DOI: 10.48550/arxiv.0812.3389
Research
co-principal investigator on
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Grant
- Get Educators in Mathematics and Science (GEMS). awarded by National Science Foundation 2009 - 2013
- The CSEMS program at FIU awarded by National Science Foundation 2007 - 2009
Contact
full name
- Philippe Rukimbira
visualizations
publication subject areas
Citation index-derived subject areas the researcher has published in