Abstract f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970. In this
paper, the author studies a subclass of f-harmonic maps called f-harmonic morphisms which …

We prove a new comparison lemma for Jacobi fields that exploits Wilking's transverse
Jacobi equation. In contrast to standard Riccati and Jacobi comparison theorems, there are …

On Riemannian Foliations over Positively Curved Manifolds | SpringerLink Skip to main content
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If $\pi: M\rightarrow B $ is a Riemannian submersion and $ M $ has positive sectional
curvature, O'Neill's Horizontal Curvature Equation shows that $ B $ must also have positive …

We study singularity formation of K a¨ hler–Ricci flow on a K a¨ hler manifold that admits a
horizontally homothetic conformal submersion into another K a¨ hler manifold. We will derive …

We propose a new notion called infinity-harmonic maps between Riemannian manifolds.
These are natural generalizations of the well-known notion of infinity-harmonic functions and …

We study singularity formation of K\" ahler-Ricci flow on a K\" ahler manifold that admits a
horizontally homothetic conformal submersion into another K\" ahler manifold. We will derive …

We propose a new notion called\emph {infinity-harmonic maps} between Riemannain
manifolds. These are natural generalizations of the well known notion of infinity harmonic …

We introduce a class of submersions between two Finslerian manifolds and the class of
Finsler-compatible maps which contains the previous class. Defining also the notion of …

The existence of the smooth solutions of the∞-Laplace equation is rare. In this note, we use
the ideas of∞-harmonic morphisms (maps that preserve solutions of∞-Laplace …