AdS 3-manifolds and Higgs bundles
D Alessandrini, Q Li - Proceedings of the American Mathematical Society, 2018 - ams.org
In this paper we investigate the relationships between closed AdS $3 $-manifolds and Higgs
bundles. We have a new way to construct AdS structures that allows us to see many of their …
bundles. We have a new way to construct AdS structures that allows us to see many of their …
Equivariant maps into Anti-de Sitter space and the symplectic geometry of ℍ²× ℍ²
F Bonsante, A Seppi - Transactions of the American Mathematical Society, 2019 - ams.org
Given two Fuchsian representations $\rho _l $ and $\rho _r $ of the fundamental group of a
closed oriented surface $ S $ of genus $\geq 2$, we study the relation between Lagrangian …
closed oriented surface $ S $ of genus $\geq 2$, we study the relation between Lagrangian …
The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry
A Seppi - Complex Manifolds, 2017 - degruyter.com
Given a smooth spacelike surface∑ of negative curvature in Anti-de Sitter space of
dimension 3, invariant by a representation p: π1 (S)→ PSL2ℝ x PSL2ℝ where S is a closed …
dimension 3, invariant by a representation p: π1 (S)→ PSL2ℝ x PSL2ℝ where S is a closed …
[图书][B] Harmonic maps of Riemann surfaces and applications in geometry
N Sagman - 2022 - search.proquest.com
Harmonic maps are fundamental objects in differential geometry. They play an important
role in studying deformations of geometric structures and in various rigidity problems. In this …
role in studying deformations of geometric structures and in various rigidity problems. In this …
[HTML][HTML] A geometrical correspondence between maximal surfaces in anti-De Sitter space–time and minimal surfaces in H2× R
F Torralbo - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
A geometrical correspondence between maximal surfaces in anti-De Sitter space–time and
minimal surfaces in the Riemannian product of the hyperbolic plane and the real line is …
minimal surfaces in the Riemannian product of the hyperbolic plane and the real line is …
[PDF][PDF] Evolution of spacelike surfaces in anti-De Sitter space by their Lagrangian angle
K Smoczyk - arXiv preprint arXiv:1107.1836, 2011 - arxiv.org
arXiv:1107.1836v1 [math.DG] 10 Jul 2011 Page 1 arXiv:1107.1836v1 [math.DG] 10 Jul 2011
EVOLUTION OF SPACELIKE SURFACES IN ANTI-DE SITTER SPACE BY THEIR …
EVOLUTION OF SPACELIKE SURFACES IN ANTI-DE SITTER SPACE BY THEIR …