On Harmonic Maps from the Complex Plane to Hyperbolic 3-Space
Publication type: Journal Article
Publication date: 2025-02-17
scimago Q1
wos Q1
SJR: 1.248
CiteScore: 2.3
Impact factor: 1.5
ISSN: 10506926, 1559002X
Abstract
For any twisted ideal polygon in $$\mathbb {H}^3$$ , we construct a harmonic map from $$\mathbb {C}$$ to $$\mathbb {H}^3$$ with a polynomial Hopf differential, that is asymptotic to the given polygon, and is a bounded distance from a pleated plane. Our proof uses the harmonic map heat flow. We also show that such a harmonic map is unique once we prescribe the principal part of its Hopf differential.
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Gupta S. et al. On Harmonic Maps from the Complex Plane to Hyperbolic 3-Space // Journal of Geometric Analysis. 2025. Vol. 35. No. 3. 103
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Gupta S., Sau G. On Harmonic Maps from the Complex Plane to Hyperbolic 3-Space // Journal of Geometric Analysis. 2025. Vol. 35. No. 3. 103
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TY - JOUR
DO - 10.1007/s12220-025-01928-2
UR - https://link.springer.com/10.1007/s12220-025-01928-2
TI - On Harmonic Maps from the Complex Plane to Hyperbolic 3-Space
T2 - Journal of Geometric Analysis
AU - Gupta, Subhojoy
AU - Sau, Gobinda
PY - 2025
DA - 2025/02/17
PB - Springer Nature
IS - 3
VL - 35
SN - 1050-6926
SN - 1559-002X
ER -
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@article{2025_Gupta,
author = {Subhojoy Gupta and Gobinda Sau},
title = {On Harmonic Maps from the Complex Plane to Hyperbolic 3-Space},
journal = {Journal of Geometric Analysis},
year = {2025},
volume = {35},
publisher = {Springer Nature},
month = {feb},
url = {https://link.springer.com/10.1007/s12220-025-01928-2},
number = {3},
pages = {103},
doi = {10.1007/s12220-025-01928-2}
}