Publications
1 Research Papers
- Semisimple elements of order 3
in finite Chevalley groups, Journal of Algebra, Vol. 56 (1979),
481-498.
- Structure constants of
algebraic groups, Journal of Algebra, Vol. 75(1982), 209-222.
- Root groups, Journal of
Algebra, Vol. 76(1982), 211-213.
- The Jacobi identity, Punjab
University Journal of Mathematics, Vol. XVI (1983), 9-30.
PDF
- Homogeneous CR manifolds
(co-authors: A. Huckleberry and W. Richthofer), Journal fuer die Reine and
Angewandte Mathematik, Vol. 358(1985), 126-154.
- Levi-curvature of manifolds
with a Stein-rational fibration, Manuscripta Mathematica, Vol.
50(1985), 269-311.
- On a theorem of Kempf and Ness
(co-author: J.J. Loeb),
Indiana Univ. Math. Journal,
Vol. 39(1) (1990), 61-65.
- On the structure of parabolic
subgroups (co-authors: M.J. Barry and G.M. Seitz), Communications in
Algebra, Vol. 18(2) (1990), 551-562.
- Plurisubharmonic functions and
the Kempf-Ness theorem (co-author: J.J. Loeb), Bull.
London Math. Soc.
25(1993), 162-168.
- Plurisubharmonic functions and metrics on complex symmetric varieties (co-author: J.J.
Loeb), Indagationes Mathematicae, N.S. 3(4) (1992), 365-375.
- Totally real orbits in affine
quotients of reductive groups, (co-authors: J.J. Loeb and M.N. Qureshi),
Nagoya Math.
Journal,
Vol. 139(1995).
- A remark on the moment map,
Proc. Amer. Math. Soc., Vol. 12(4), (1994), 1295-1297.
- Spherically symmetric manifolds
which admit five isometrics (co-author: M. Ziad), J. Math. Phyics,
36(1995), 1908-1911.
- Quasi-potentials and metrics on flag manifolds, (co-authors: M.N. Qureshi and R.
Kobayashi), Journal of Algebra, Vol. 126 (1997), 620-629.
- Some applications of
plurisubharmonic functions to orbits of real reductive groups, (co-author: J.J.
Loeb), Indagationes Mathematicae, NS., 10(4) (1999), 473-482.
PDF
- Comments on the paper
“Geometric phase, bundle classification and group representation” (co-authors:
M.N. Qureshi, M. Ziad), J. Math. Physics, 40(1999), 3693-3696.
- Holomorphic principal bundles
over a compact manifold (co-authors: B. Anchouche and I. Biswas), C.
R. Acad. Sci. Paris Ser. I Math., 330(2000), no. 2, 109-114.
- Homogeneous affine bundles,
Comm. Algebra, 16(1988), no. 8, 1599-1603.
- On the third Betti number of
some compact homogeneous manifolds, Studia Sci. Math. Hungar. 25(1990),
no. 1-2, 1-2.
- On holomorphic principal
bundles over a compact Riemann surface admitting a flat connection (co-author:
I. Biswas), Math Annalen, 322(2002), 333-346.
- Harder-Narasimhan reduction for
principal bundles over a compact Kaehler manifold (co-authors B. Anchouch and
I. Biswas), Math Annalen, 323 (2002), 333-346.
- On holomorphic principal
bundles over a compact Riemann surface admitting a flat connection II
(co-author: I. Biswas), Bull.
London Math.
Soc (accepted).
- Quasi-potentials and
metrics on flag manifolds II (co-author: I.Biswas),
Journal of Algebra, 269 (2003), 480-491.
PDF
- On principal bundles over a
flag manifold, (coauthor I.Biswas), Journal of Lie Theory,14(2004), no.2,
569-581).
- Focusing Surfaces (Coauthors:
A. Laradji, A. Qadir) , Math.Gazette(accepted).
PDF
-
Harmonic morphisms of warped product type from
Einstein manifolds (coauthor
M.T.Mustafa) (accepted: Archiv der Mathematik).
-
Symmetry Analysis of Wave
Equation on Sphere (coauthor M.T. Mustafa) (accepted: Journal of Mathematical
Analysis and its Applications).
-
Symplectic
Geometry of Semisimple Orbits (coauthor I. Biswas) (submitted).
PDF
2 Papers on Education
- On a theorem of Clay
(co-author: A. Laradji), College Math. Journal, Vol. 31, No. 5, Nov.
2000, p. 405.
- The projection Method in
Evaluating Multiple Integrals, Intl. J. of Math. Ed. in Sc. and
Tech. (UK) 2001, Vol. 32, 444-466.
- On the Definition of the Cross
Product (IJMEST) (UK), 2001, Vol. 32, # 4, 585-587.
- An equality for certain
exponential sums (coauthor: A. Laradji), Math. Gazette, Vol.87, No.510,
(2003).p.525-527.
- Some impossible constructions
in elementary geometry (coauthor: A. Laradji), Math. Gazette, Vol.88, No.513
(2004), 548-551.
- Why do certain limacons have a
dimple (coauthor T.Mustafa), Teaching Mathematics and its Applications, Oxford
Univ. Press. Advance Access published on March 29, 2006. (doi:10.1093/teamat/hrl003).
- Technology and Calculus Sequence (coauthor M. T. Mustafa) (submitted).
3 Books
- Algebraic Groups by T.A.
Springer, Birkhauser Verlag (1981). I wrote the first draft.
- Post-Modern Analysis
by J. Jost, Springer Verlag, 1998.
I translated the German MS into English.
4 Essays
- Mathematics as a Profession:
Essay written for the Mathematics Awareness Committee of KFUPM.
- Letter from a Mathematician,
Plus Magazine, March 2003, Millenium Mathematics Project, Cambridge
University.
- Mathematics Around Us: Essay
written for Mathematics Awareness Committee.
- Mathematics Arts and Real Life:
Reflections on Teaching Mathematics.
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