On the Existence of Jenkins-Strebel Differentials Using Harmonic Maps from Surfaces to Graphs
, 1994 We give a new proof of the existence (\cite{HM}, \cite{Ren}) of a Jenkins-Strebel differential $\Phi$ on a Riemann surface $\SR$ with prescribed heights of cylinders by considering the harmonic map from $\SR$ to the leaf space of the vertical foliation ...
Wolf, Michael
core
Degrees of maps and multiscale geometry
Forum of Mathematics, PiWe study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov +2 more
doaj +1 more source
Riemannian Optimization for Active Mapping With Robot Teams
IEEE Transactions on RoboticsAutonomous exploration of unknown environments using a team of mobile robots demands distributed perception and planning strategies to enable efficient and scalable performance. Ideally, each robot should update its map and plan its motion not only relying on its own observations, but also considering the observations of its peers.
Arash Asgharivaskasi +2 more
openaire +2 more sources
Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way ...
Sabatini Luca
doaj +1 more source
Harmonic-hyperbolic geometric flow
Electronic Journal of Differential Equations, 2017 In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time.
Shahroud Azami
doaj
Reflection Principles for Smooth Harmonic Maps between Riemannian Manifolds and a Schwarz Reflection Principle for Harmonic and Holomorphic Maps from a Class of Hermitian Symmetric Spaces [PDF]
, 2017 Dominic S. P. Leung
openalex +1 more source
Energy estimates of harmonic maps between Riemannian manifolds [PDF]
, 2020 Maria Alessandra Ragusa +1 more
openalex +1 more source
Geodesic Dynamics for Constrained State-Space Models on Riemannian Manifolds
MathematicsWe present a geodesic dynamics framework for discrete-time state evolution on the unit sphere SN−1 that maintains exact unit-norm constraints through Riemannian exponential mapping.
Tianyu Wang +3 more
doaj +1 more source
A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric [PDF]
, 2013 Hongxin Guo +2 more
openalex +1 more source