We prove that upper curvature bounds in the sense of Alexandrov can be improved locally by using appropriate conformal changes. As a new technical tool we derive a generalization to metric spaces and semi-convex functions of the classical differential geometric property that compositions of harmonic maps with convex functions are subharmonic
We prove a strong variational formula for Lipschitz–Killing curvaturesof subanalytic sets. As coroll...
We discuss regularity issues for harmonic maps from a n-dimensional Riemannian polyhedral complexX t...
Sufficient coefficient conditions for complex functions to be close-to-convex har-monic or convex ha...
98 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.Here we show that if the logar...
Abstract. We study harmonic maps between two distinct compact Riemann surfaces of the same genus. Ou...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
It is known that the L2L2-norms of a harmonic function over spheres satisfy some convexity inequalit...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
We study the Plateau Problem of finding an area minimizing disk bounding a given Jordan curve in a c...
In this paper we use shear construction to generate certain subclasses of harmonic univalent mapping...
The so-called spaces with the Riemannian curvature-dimension condition (RCD spaces for short) are me...
Abstract. In 1984, Clunie and Sheil-Small proved that a sense-preserving harmonic function whose ana...
Complex valued harmonic functions that are univalent and sense preserving in the unit disk U can be ...
[[abstract]]We consider complex-valued harmonic functions of the form f = h + g , where h and g are ...
AbstractWe introduce and investigate a new subclass of harmonic multivalent functions defined by usi...
We prove a strong variational formula for Lipschitz–Killing curvaturesof subanalytic sets. As coroll...
We discuss regularity issues for harmonic maps from a n-dimensional Riemannian polyhedral complexX t...
Sufficient coefficient conditions for complex functions to be close-to-convex har-monic or convex ha...
98 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.Here we show that if the logar...
Abstract. We study harmonic maps between two distinct compact Riemann surfaces of the same genus. Ou...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
It is known that the L2L2-norms of a harmonic function over spheres satisfy some convexity inequalit...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
We study the Plateau Problem of finding an area minimizing disk bounding a given Jordan curve in a c...
In this paper we use shear construction to generate certain subclasses of harmonic univalent mapping...
The so-called spaces with the Riemannian curvature-dimension condition (RCD spaces for short) are me...
Abstract. In 1984, Clunie and Sheil-Small proved that a sense-preserving harmonic function whose ana...
Complex valued harmonic functions that are univalent and sense preserving in the unit disk U can be ...
[[abstract]]We consider complex-valued harmonic functions of the form f = h + g , where h and g are ...
AbstractWe introduce and investigate a new subclass of harmonic multivalent functions defined by usi...
We prove a strong variational formula for Lipschitz–Killing curvaturesof subanalytic sets. As coroll...
We discuss regularity issues for harmonic maps from a n-dimensional Riemannian polyhedral complexX t...
Sufficient coefficient conditions for complex functions to be close-to-convex har-monic or convex ha...