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P-harmonic morphisms, minimal foliations, and conformal deformations of metrics /
(2005)
In this dissertation, we study p-harmonic morphisms and its interaction with minimal foliations and conformal deformations of metrics. We give several methods to construct non-trivial p-harmonic morphisms via conformal ...
Geometric evolution equations and p-harmonic theory with applications in differential geometry.
(2006)
In this dissertation, we consider parabolic (e.g. Ricci flow) and elliptic (e.g. p-harmonic equations) partial differential equations on Riemannian manifolds and use them to study geometric and topological problems. More ...
P-harmonic theory on ellipsoids with geometric applications.
(2006)
In the first part of this thesis, we are interested in representing homotopy groups by p-harmonic maps with applications to minimal submanifolds of ellipsoids. In the second part, we discuss Liouville-type theorems for ...