Sigmundur Gudmundsson

Sigmundur Gudmundsson's AcademicInfluence.com Rankings

Mathematics

#4840

World Rank

#6845

Historical Rank

Measure Theory

#5075

World Rank

#5998

Historical Rank

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Mathematics

Why Is Sigmundur Gudmundsson Influential?

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According to Wikipedia, Sigmundur Gudmundsson is an Icelandic-Swedish mathematician working at Lund University in the fields of differential geometry and global analysis. He is mainly interested in the geometric aspects of harmonic maps and their derivatives, such as harmonic morphisms and p-harmonic functions. His work is partially devoted to the existence theory of complex-valued harmonic morphisms and p-harmonic functions from Riemannian homogeneous spaces of various types, such as symmetric spaces and semisimple, solvable and nilpotent Lie groups.

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Sigmundur Gudmundsson's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On the geometry of tangent bundles (2002) (149)
HARMONIC MORPHISMS BETWEEN RIEMANNIAN MANIFOLDS (London Mathematical Society Monographs: New Series 29) By PAUL BAIRD and JOHN C. WOOD: 520 pp., £74.00 (LMS members' price £51.80), ISBN 0-19-850362-8 (Oxford University Press, 2003) (2006) (84)
On the geometry of harmonic morphisms (1990) (68)
p-harmonic maps and minimal submanifolds (1992) (61)
On the Geometry of the Tangent Bundle with the Cheeger-Gromoll Metric (2002) (56)
Biharmonic maps into a Riemannian manifold of non-positive curvature (2012) (49)
Harmonic morphisms between spaces of constant curvature (1993) (29)
On the existence of harmonic morphisms from symmetric spaces of rank one (1997) (27)
Biharmonic Functions on the Classical Compact Simple Lie Groups (2016) (25)
Harmonic morphisms from complex projective spaces (1994) (24)
Multivalued harmonic morphisms (1993) (22)
Harmonic morphisms from the Grassmannians and their non-compact duals (2006) (19)
Harmonic morphisms from the classical compact semisimple Lie groups (2006) (19)
Minimal submanifolds of hyperbolic spaces via harmonic morphisms (1996) (13)
Harmonic morphisms from four-dimensional Lie groups (2013) (12)
A note on the classification of holomorphic harmonic morphisms (1993) (12)
Non-holomorphic harmonic morphisms from Kähler manifolds (1994) (11)
Harmonic morphisms from quaternionic projective spaces (1995) (10)
Harmonic morphisms from solvable Lie groups (2007) (9)
Proper r-harmonic functions from Riemannian manifolds (2019) (9)
Biharmonic functions on the special unitary group SU(2) (2016) (8)
On the existence of harmonic morphisms from three dimensional Lie groups (2010) (7)
Biharmonic functions on spheres and hyperbolic spaces (2018) (7)
New biharmonic functions on the compact Lie groups $SO(n)$, $SU(n)$, $Sp(n)$ (2018) (6)
Harmonic morphisms from homogeneous Hadamard manifolds (2010) (6)
A note on biharmonic functions on the Thurston geometries (2017) (5)
An Introduction to Riemannian Geometry - Lecture Notes in Mathematics (2016) (5)
Complete minimal submanifolds of compact Lie groups (2013) (5)
Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals (2006) (5)
ON THE EXISTENCE OF HARMONIC MORPHISMS FROM CERTAIN SYMMETRIC SPACES (2006) (4)
Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n) (2020) (3)
Harmonic morphisms as unit normal bundles¶of minimal surfaces (1999) (3)
New Biharmonic Functions on the Compact Lie Groups $$\mathbf{SO}(n)$$ SO ( n ) , (2019) (3)
Proper r-harmonic functions on the Thurston geometries (2019) (3)
Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds (2014) (3)
Harmonic Morphisms as Sphere Bundles Over Compact Riemann Surfaces (1997) (2)
On the geometry of the Gauss map of conformal foliations by lines (2004) (2)
Conformal foliations on Lie groups and complex-valued harmonic morphisms (2020) (2)
Harmonic morphisms from homogeneous spaces of positive curvature (2013) (2)
Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds (2014) (2)
An Introduction to Gaussian Geometry - Lecture Notes in Mathematics (2016) (1)
Complex-Valued (p, q)-Harmonic Morphisms from Riemannian Manifolds (2020) (1)
Explicit harmonic morphisms and p-harmonic functions on Grassmannians (2020) (1)
On the geometry of certain harmonic two-spheres in complex Grassmannians (1991) (1)
Explicit $p$-harmonic functions and harmonic morphisms on the real Grassmannians (2021) (1)
Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type (2020) (0)
Proper biharmonic maps and $$(2,1)$$ ( 2 , 1 ) -harmonic morphisms from some wild geometries (2021) (0)
Explicit harmonic morphisms and $p$-harmonic functions from the complex and quaternionic Grassmannians (2020) (0)
Harmonic morphisms from 5-dimensional Lie groups (2016) (0)
Complex-Valued Harmonic Morphisms from Lie Groups and Symmetric Spaces (2018) (0)
Harmonic Morphisms from Homogeneous Spaces - Some Existence Theory - (2014) (0)
Harmonic morphisms from 5-dimensional Lie groups (2016) (0)
Biharmonic functions on the Thurston geometries (2017) (0)
r-Harmonic and Complex Isoparametric Functions on the Lie Groups $${{\mathbb {R}}}^m \ltimes {{\mathbb {R}}}^n$$ and $${{\mathbb {R}}}^m \ltimes \mathrm {H}^{2n+1}$$ (2020) (0)
Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups (2021) (0)
Complete minimal submanifolds of compact Lie groups (2015) (0)
Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds (2015) (0)
Proper r-harmonic functions from Riemannian manifolds (2019) (0)
Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves (2022) (0)
Finite Fields and Error-Correcting Codes - Lecture Notes in Mathematics (2015) (0)
Conformal Minimal Foliations on Semi-Riemannian Lie Groups. (2020) (0)
Explicit Proper p-Harmonic Functions on the Riemannian Symmetric Spaces $$\mathbf{SU} (n)/\mathbf{SO} (n)$$, $$\mathbf{Sp} (n)/\mathbf{U} (n)$$, $$\mathbf{SO} (2n)/\mathbf{U} (n)$$, $$\mathbf{SU} (2n)/\mathbf{Sp} (n)$$ (2022) (0)
Eight-Dimensional Hermitian Lie Groups Conformally Foliated by Minimal $\textbf{SU}(2) \times \textbf{SU}(2)$ Leaves (2021) (0)
Biharmonic maps into a Riemannian manifold of non-positive curvature (2013) (0)
Biharmonic Functions on the Classical Compact Simple Lie Groups (2017) (0)
Introduction to Riemannian geometry (2020) (0)

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