Epstein curves in the hyperbolic disk equate the Schwarzian action to curve length and enclosed area while equaling the derivative of Loewner energy, yielding immediate non-negativity proofs via isoperimetric inequality.
Hodgson and Igor Rivin
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
Introduces mutation on compact hyperbolic polyhedra and poses the open question of commensurability for mutant pairs, motivated by concrete examples.
citing papers explorer
-
Epstein curves and holography of the Schwarzian action
Epstein curves in the hyperbolic disk equate the Schwarzian action to curve length and enclosed area while equaling the derivative of Loewner energy, yielding immediate non-negativity proofs via isoperimetric inequality.
-
Problem on Mutant Pairs of Hyperbolic Polyhedra
Introduces mutation on compact hyperbolic polyhedra and poses the open question of commensurability for mutant pairs, motivated by concrete examples.