We find a compactification of the SO0(2, 3)-Hitchin compo-nent by studying the degeneration of the induced metric on the unique equivariant maximal surface in the 4-dimensional pseudo-hyperbolic space H2,2. In the process, we establish the closure in the space of projectivized geodesic currents of the space of flat metrics induced by holomorphic quartic differ-entials on a Riemann surface. As an application, we describe the behavior of the entropy of the induced metric along rays of quartic differentials.(c) 2023 Elsevier Inc. All rights reserved.
Length spectrum compactification of the SO0(2,3)-Hitchin component
Tamburelli A.
2023-01-01
Abstract
We find a compactification of the SO0(2, 3)-Hitchin compo-nent by studying the degeneration of the induced metric on the unique equivariant maximal surface in the 4-dimensional pseudo-hyperbolic space H2,2. In the process, we establish the closure in the space of projectivized geodesic currents of the space of flat metrics induced by holomorphic quartic differ-entials on a Riemann surface. As an application, we describe the behavior of the entropy of the induced metric along rays of quartic differentials.(c) 2023 Elsevier Inc. All rights reserved.File in questo prodotto:
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