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3 papers · 1 filter
math.DG2009
Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics
Wojciech Kozlowski, Kamil Niedzialomski
We investigate horizontal conformality of a differential of a map between Riemannian manifolds where the tangent bundles are equipped with Cheeger--Gromoll type metrics. As a corol…
math.DG2008
On leafwise conformal diffeomorphisms
Kamil Niedzialomski
For every diffeomorphism between 3--dimensional Riemannian manifolds and there are in general locally two 2--dimensional distributions such that is…
math.DG2007
Collapse of unit horizontal bundles equipped with a metric of Cheeger-Gromoll type
Wojciech Kozlowski, Szymon M. Walczak
We study unit horizontal bundles associated with Riemannian submersions. First we investigate metric properties of an arbitrary unit horizontal bundle equipped with a Riemannian me…