Results 11 to 20 of about 601 (55)

Hyperbolic Unfoldings of Minimal Hypersurfaces

open access: yesAnalysis and Geometry in Metric Spaces, 2018
We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
doaj   +1 more source

The Research of Thomas P. Branson [PDF]

open access: yes, 2008
The Midwest Geometry Conference 2007 was devoted to the substantial mathematical legacy of Thomas P. Branson who passed away unexpectedly the previous year. This contribution to the Proceedings briefly introduces this legacy. We also take the opportunity
Eastwood, Michael G., Gover, A. Rod
core   +3 more sources

Locally conformally Kähler solvmanifolds: a survey

open access: yesComplex Manifolds, 2019
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
doaj   +1 more source

Formal Adjoints and a Canonical Form for Linear Operators

open access: yes, 2006
We describe a canonical form for linear differential operators that are formally self-adjoint or formally skew-adjoint.Comment: 3 ...
Eastwood, Michael G., Gover, A. Rod
core   +1 more source

Volume growth and puncture repair in conformal geometry

open access: yes, 2017
Suppose $M$ is a compact Riemannian manifold and $p\in M$ an arbitrary point. We employ estimates on the volume growth around $p$ to prove that the only conformal compactification of $M\setminus\{p\}$ is $M$ itself.Comment: 7 ...
Eastwood, Michael G., Gover, A. Rod
core   +1 more source

Conformally covariant parameterizations for relativistic initial data

open access: yes, 2016
We revisit the Lichnerowicz-York method, and an alternative method of York, in order to obtain some conformally covariant systems.
Delay, Erwann
core   +3 more sources

Prescribing Gaussian and Geodesic Curvature on Disks

open access: yesAdvanced Nonlinear Studies, 2018
In this paper, we consider the problem of prescribing the Gaussian and geodesic curvature on a disk and its boundary, respectively, via a conformal change of the metric.
Cruz-Blázquez Sergio, Ruiz David
doaj   +1 more source

Minimal Darboux transformations

open access: yes, 2016
We derive a permutability theorem for the Christoffel, Goursat and Darboux transformations of isothermic surfaces. As a consequence we obtain a simple proof of a relation between Darboux pairs of minimal surfaces in Euclidean space, curved flats in the 2-
Hertrich-Jeromin, U., Honda, A.
core   +1 more source

On Singular Liouville Equations and Systems

open access: yesAdvanced Nonlinear Studies, 2017
We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
doaj   +1 more source

Conformally Einstein Products and Nearly K\"ahler Manifolds

open access: yes, 2008
In the first part of this note we study compact Riemannian manifolds (M,g) whose Riemannian product with R is conformally Einstein. We then consider compact 6--dimensional almost Hermitian manifolds of type W_1+W_4 in the Gray--Hervella classification ...
A. Besse   +18 more
core   +5 more sources

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