Displaying similar documents to “Some examples of harmonic maps for g -natural metrics”

Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps

Zahra Sinaei (2014)

Analysis and Geometry in Metric Spaces

Similarity:

This paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curved geodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functions and harmonic maps under two different assumptions on the source space. First we prove the analogue of the Schoen-Yau Theorem on a complete pseudomanifolds with non-negative Ricci curvature. Then we study 2-parabolic admissible Riemannian polyhedra and prove some vanishing results on them. ...

On the geometry of frame bundles

Kamil Niedziałomski (2012)

Archivum Mathematicum

Similarity:

Let ( M , g ) be a Riemannian manifold, L ( M ) its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle T M . We compute the Levi–Civita connection and curvatures of these metrics.

On Riemannian tangent bundles.

Al-Aqeel, Adnan, Bejancu, Aurel (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

From infinitesimal harmonic transformations to Ricci solitons

Sergey E. Stepanov, Irina I. Tsyganok, Josef Mikeš (2013)

Mathematica Bohemica

Similarity:

The concept of the Ricci soliton was introduced by R. S. Hamilton. The Ricci soliton is defined by a vector field and it is a natural generalization of the Einstein metric. We have shown earlier that the vector field of the Ricci soliton is an infinitesimal harmonic transformation. In our paper, we survey Ricci solitons geometry as an application of the theory of infinitesimal harmonic transformations.