Lie geometry of flat fronts in hyperbolic space
Francis E. Burstall, Udo Hertrich-Jeromin, Wayne Rossman
TL;DR
This paper introduces a Lie geometric framework for understanding flat fronts in hyperbolic space, focusing on their characterization as omega-surfaces and exploring their deformations within this geometric perspective.
Contribution
It presents a novel Lie geometric approach to flat fronts in hyperbolic space, including their classification as omega-surfaces and analysis of their deformations.
Findings
Flat fronts are characterized as omega-surfaces in Lie geometry.
Deformation theory of flat fronts is developed within the Lie geometric setting.
The approach provides new insights into the geometry of flat fronts in hyperbolic space.
Abstract
We propose a Lie geometric point of view on flat fronts in hyperbolic space as special omega-surfaces and discuss the Lie geometric deformation of flat fronts.
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Taxonomy
TopicsMathematics and Applications · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology