Mathematics, Faculty of Science

Sigmundur Gudmundsson

Publications

 

- Research Papers -

S. Gudmundsson,
Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds,
preprint (2014).

S. Gudmundsson, M. Svensson,
Harmonic morphisms from homogeneous spaces of positive curvature,
Math. Proc. Cambridge Philos. Soc. (to appear).

S. Gudmundsson,
Harmonic morphisms from five-dimensional Lie groups,
preprint (2013).

S. Gudmundsson, M. Svensson,
Harmonic morphisms from four-dimensional Lie groups,
J. Geom. Phys. 83 (2014), 1-11.

S. Gudmundsson, M. Svensson, M. Ville,
Complete minimal submanifolds of compact Lie groups,
preprint (2013).

N. Nakauchi, H. Urakawa, S. Gudmundsson,
Biharmonic maps into a Riemannian manifold of non-positive curvature,
Geom. Dedicata 169 (2014), 263-272.

S. Gudmundsson, J. Nordström,
Harmonic morphisms from homogeneous Hadamard manifolds,
Ann. Global Anal. Geom. 39 (2011), 215-230.

S. Gudmundsson, M. Svensson,
On the existence of harmonic morphisms from three-dimensional Lie groups,
Contemp. Math. 542 (2011), 279-284.

S. Gudmundsson, M. Svensson,
Harmonic morphisms from solvable Lie groups,
Math. Proc. Cambridge Philos. Soc. 147 (2009), 389-408.

S. Gudmundsson, A. Sakovich,
Harmonic morphisms from the classical non-compact semisimple Lie groups,
Differential Geom. Appl. 27 (2009), 47-63.

S. Gudmundsson, A. Sakovich,
Harmonic morphisms from the classical compact semisimple Lie groups,
Ann. Global Anal. Geom. 33 (2008), 343-356.

S. Gudmundsson, M. Svensson,
On the existence of harmonic morphisms from certain symmetric spaces
J. Geom. Phys. 57 (2007), 353-366.

S. Gudmundsson, M. Svensson,
Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals,
Differential Geom. Appl. 24 (2006), 351-366.

S. Gudmundsson, M. Svensson,
Harmonic morphisms from the Grassmannian and their non-compact duals,
Ann. Global Anal. Geom. 30 (2006), 313-333.

J.-M. Burel, S. Gudmundsson,
On the geometry of the Gauss map of conformal foliations by lines,
Math. Proc. Cambridge Philos. Soc. 136 (2004), 247-255.

S. Gudmundsson, E. Kappos,
On the geometry of tangent bundles,
Expo. Math. 20 (2002), 1-41.

S. Gudmundsson, E. Kappos,
On the geometry of the tangent bundle with the Cheeger-Gromoll metric,
Tokyo J. Math. 25 (2002), 75-83.

S. Gudmundsson, X. Mo,
Harmonic morphisms as unit normal bundles of minimal surfaces,
Manuscripta Math. 100 (1999), 323-333.

S. Gudmundsson,
Harmonic morphisms as sphere bundles over compact Riemann surfaces,
Internat. J. Math. 8 (1997), 935-942.

S. Gudmundsson,
On the existence of harmonic morphisms from symmetric spaces of rank one,
Manuscripta Math. 93 (1997), 421-433.

S. Gudmundsson, J. C. Wood,
Harmonic morphisms between almost Hermitian manifolds,
Boll. Un. Mat. Ital. (7) 11 (1997), Supplement to fasc. 2, pp. 185-197.

S. Gudmundsson,
Minimal submanifolds of hyperbolic spaces via harmonic morphisms,
Geom. Dedicata 62 (1996), 269-279.

S. Gudmundsson,
Harmonic morphisms from quaternionic projective spaces,
Geom. Dedicata 56 (1995), 327-332.

S. Gudmundsson,
Non-holomorphic harmonic morphisms from Kähler manifolds,
Manuscripta Math. 85 (1994), 67-78.

S. Gudmundsson,
Harmonic morphisms from complex projective spaces,
Geom. Dedicata 53 (1994), 155-161.

S. Gudmundsson, R. Sigurdsson,
A note on the classification of holomorphic harmonic morphisms,
Potential Anal. 2 (1993), 295-298.

S. Gudmundsson, J. C. Wood,
Multivalued harmonic morphisms,
Math. Scand. 73 (1993), 127-155.

P. Baird, S. Gudmundsson,
p-harmonic maps and minimal submanifolds,
Math. Ann. 294 (1992), 611-624.

S. Gudmundsson,
Harmonic morphisms between spaces of constant curvature,
Proc. Edinburgh Math. Soc. 36 (1993), 133-143.

S. Gudmundsson,
On the geometry of harmonic morphisms,
Math. Proc. Cambridge Philos. Soc. 108 (1990), 461-466.

S. Gudmundsson,
On the geometry of certain harmonic two-spheres in complex Grassmannians,
Boll. Un. Mat. Ital. (7) 5 (1991), 653-664.

- Lecture Notes -

S. Gudmundsson,
An Introduction to Gaussian Geometry,
Lund University (2013).

S. Gudmundsson,
An Introduction to Riemannian Geometry,
Lund University (2014).

- Thesis -

S. Gudmundsson,
The Geometry of Harmonic Morphisms,
Doctoral thesis,
University of Leeds (1992).

S. Gudmundsson,
Harmonische 2-Sphären in komplexen Grassmann Mannigfaltigkeiten,
Diplomarbeit,
Universität Bonn (1988).

S. Guðmundsson,
Um Kaplan-Meier metilinn og hagnýtingu hans,
B.S. ritgerð,
Háskóli Íslands (1984).

- Database on the Web -

S. Gudmundsson,
The Bibliography of Harmonic Morphisms.

- Book Review -

S. Gudmundsson, M. Svensson,
P. Baird, J. C. Wood, Harmonic morphisms between Riemannian manifolds,
Bull. London Math. Soc. 38 (2006), 869-872.

- Translation -

Karl-Gustav Andersson,
Finite Fields and Error Correcting Codes,
Lund University (2013).