Conformal deformations of uniform Loewner spaces

2004 ◽  
Vol 136 (2) ◽  
pp. 325-360 ◽  
Author(s):  
DAVID A HERRON
Keyword(s):  
Conformal Deformations ◽  
Loewner Spaces

On the conformal scalar curvature equations on Finsler manifolds

2016 ◽  
Vol 14 (01) ◽  
pp. 1750008
Author(s):  
Neda Shojaee ◽  
Morteza MirMohammad Rezaii
Keyword(s):  
Scalar Curvature ◽  
Finsler Geometry ◽  
Yamabe Problem ◽  
Finsler Manifolds ◽  
Yamabe Flow ◽  
Conformal Deformations

In this paper, we study conformal deformations and [Formula: see text]-conformal deformations of Ricci-directional and second type scalar curvatures on Finsler manifolds. Then we introduce the best equation to study the Yamabe problem on Finsler manifolds. Finally, we restrict conformal deformations of metrics to [Formula: see text]-conformal deformations and derive the Yamabe functional and the Yamabe flow in Finsler geometry.

scholarly journals Hyperbolic Unfoldings of Minimal Hypersurfaces

2018 ◽  
Vol 6 (1) ◽  
pp. 96-128 ◽  
Author(s):  
Joachim Lohkamp
Keyword(s):  
Point Of View ◽  
Hyperbolic Spaces ◽  
Intrinsic Geometry ◽  
Minimal Hypersurfaces ◽  
Bounded Geometry ◽  
New Concepts ◽  
Gromov Hyperbolic ◽  
Area Minimizing ◽  
Conformal Deformations ◽  
Gromov Boundary

Abstract 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. This new and natural concept reveals some unexpected geometric and analytic properties of H and its singularity set Ʃ. Moreover, it can be used to prove the existence of hyperbolic unfoldings of H\Ʃ. These are canonical conformal deformations of H\Ʃ into complete Gromov hyperbolic spaces of bounded geometry with Gromov boundary homeomorphic to Ʃ. These new concepts and results naturally extend to the larger class of almost minimizers.

Superalgebra of conformal deformations for twistor-like superspaces

1997 ◽  
Vol 110 (1) ◽  
pp. 91-96
Author(s):  
N. G. Pletnev ◽  
D. V. Serebryakova
Keyword(s):  
Conformal Deformations

scholarly journals On the measurable dynamics of z → ez

1985 ◽  
Vol 5 (3) ◽  
pp. 329-335 ◽  
Author(s):  
Etienne Ghys ◽  
Lisa R. Goldberg ◽  
Dennis P. Sullivan
Keyword(s):  
Equivalence Relation ◽  
Exponential Map ◽  
Shift Map ◽  
Conformal Deformations ◽  
Complex Exponential

AbstractWe study the measure theoretic properties of the complex exponential map E(z) = ez.An particular, we show that the equivalence relation generated by E is recurrent and that E has no quasi-conformal deformations. This enables us to give some information concerning Devaney's semi-conjugacy between E and the shift map on sequences of integers.

Sign in / Sign up

Export Citation Format

Share Document