Results 11 to 20 of about 482 (32)

Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds

, 2014
We construct 4-dimensional Riemannian Lie groups carrying left-invariant conformal foliations with minimal leaves of codimension 2. We show that these foliations are holomorphic with respect to an (integrable) Hermitian structure which is not K\" ahler ...
Gudmundsson, Sigmundur
core   +1 more source

Biharmonic functions on spheres and hyperbolic spaces

, 2018
We construct new explicit proper r-harmonic functions on the standard n-dimensional sphere S^n and hyperbolic space H^n for any r\ge 1 and n\ge ...
Gudmundsson, Sigmundur
core   +1 more source

Matrix Inequality for the Laplace Equation

, 2017
Since Li and Yau obtained the gradient estimate for the heat equation, related estimates have been extensively studied. With additional curvature assumptions, matrix estimates that generalize such estimates have been discovered for various time-dependent
Park, Jiewon
core   +1 more source

Harmonic morphisms from the classical compact semisimple Lie groups

, 2007
In this paper we introduce a new method for manufacturing harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with their standard Riemannian ...
Gudmundsson, Sigmundur, Sakovich, Anna
core   +3 more sources

Harmonic morphisms from homogeneous Hadamard manifolds

, 2010
We present a new method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds.
Gudmundsson, Sigmundur, Nordström, Jonas   +1 more
core   +1 more source

Jet Geometrical Objects Depending on a Relativistic Time

, 2008
In this paper we study a collection of jet geometrical concepts, we refer to d-tensors, relativistic time dependent semisprays, harmonic curves and nonlinear connections on the 1-jet space J1(R;M), necessary to the construction of a Miron's-like ...
Neagu, Mircea
core   +2 more sources

Harmonic morphisms from the Grassmannians and their non-compact duals

, 2006
In this paper we give a unified framework for the construction of complex valued harmonic morphisms from the real, complex and quaternionic Grassmannians and their non-compact duals.
Gudmundsson, Sigmundur, Svensson, Martin
core   +1 more source

On p-harmonic self-maps of spheres. [PDF]

Calc Var Partial Differ Equ, 2023
Branding V, Siffert A.
europepmc   +1 more source

Slant Riemannian maps from almost Hermitian manifolds

, 2012
As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.
Sahin, Bayram
core  

On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps. [PDF]

J Geom Anal, 2021
Branding V.
europepmc   +1 more source