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Rukimbira, Philippe
Graduate Faculty
Positions
Professor
,
Mathematics and Statistics
,
College of Arts, Sciences & Education
rukim@fiu.edu
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Overview
Scholarly & Creative Works
Research
Contact
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Overview
biography
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
Article
2016
Holonomy and contact geometry
.
JOURNAL OF GEOMETRY
. 107:125-135.
Full Text via DOI:
10.1007/s00022-015-0279-x
Web of Science:
000372414100008
2015
Isoparametric 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
2012
Parallelism in K-contact geometry
.
JOURNAL OF GEOMETRY
. 103:119-123.
Full Text via DOI:
10.1007/s00022-012-0119-1
Web of Science:
000211748300007
2011
Contact 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
2005
Fibrations and contact structures
Full Text via DOI:
10.1155/IJMMS.2005.555
2004
Rank and k-nullity of contact manifolds
Full Text via DOI:
10.1155/S0161171204309142
2004
Foliations and contact structures
.
ADVANCES IN GEOMETRY
. 4:75-81.
Full Text via DOI:
10.1515/advg.2004.008
Web of Science:
000188007600007
2002
Criticality 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
2001
Correction 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
2000
Spherical 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
1999
On 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
1998
A characterization of flat contact metric geometry
.
HOUSTON JOURNAL OF MATHEMATICS
. 24:409-414.
Web of Science:
000086769500003
1995
On 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
1995
Vertical sectional curvature and K-contactness
.
JOURNAL OF GEOMETRY
. 53:163-166.
Full Text via DOI:
10.1007/BF01224048
1995
Chern-Hamilton's conjecture and K-contactness
.
HOUSTON JOURNAL OF MATHEMATICS
. 21:709-718.
Web of Science:
A1995TR62300005
1995
On 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
1995
Topology 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
1994
Weak stability of almost regular contact foliations
.
JOURNAL OF GEOMETRY
. 50:16-27.
Full Text via DOI:
10.1007/BF01222659
1994
The dimension of leaf closures of K-contact flows
.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
. 12:103-108.
Full Text via DOI:
10.1007/BF02108291
1993
Some remarks on R-contact flows
.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
. 11:165-171.
Full Text via DOI:
10.1007/BF00773454
Book Chapter
2009
The 1-Nullity of Sasakian Manifolds
. 153-159.
Full Text via DOI:
10.1007/978-0-8176-4743-8_7
Web of Science:
000262095900007
2003
Energy, volume and deformation of contact metrics
. 129-143.
Full Text via DOI:
10.1090/conm/337/06057
Conference
2002
CRITICALITY OF UNIT CONTACT VECTOR FIELDS
. 105-115.
Full Text via DOI:
10.1142/9789812777089_0008
2000
Contact metric geometry characterization of the odd-dimensional spheres
. 138-141.
Web of Science:
000165398400008
Preprint
2023
Generalized Eta-Einstein and $(\kappa ,\mu )$-structures
2022
D-homothetically fixed, weakly $(\kappa, \mu)$-structures on contact metric spaces
Full Text via DOI:
10.48550/arxiv.2207.06502
2013
Isoparametric functions and harmonic unit vector fields in K-contact geometry
Full Text via DOI:
10.48550/arxiv.1309.4015
2012
Sasakian metrics with an additional contact structure
Full Text via DOI:
10.48550/arxiv.1212.6581
2008
Contact deformations of closed 1-forms on Torus bundles over the circle
Full Text via DOI:
10.48550/arxiv.0812.3389
Research
co-principal investigator on
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
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publication subject areas
Mathematics
Physics
Citation index-derived subject areas the researcher has published in