@misc{10481/84492,
year = {2023},
month = {7},
url = {https://hdl.handle.net/10481/84492},
abstract = {Given epsilon(0) > 0, I is an element of N boolean OR {0} and K 0, H 0 >= 0, let X be a complete Riemannian 3-manifold with injectivity radius Inj(X) = e 0 and with the supremum of absolute sectional curvature at most K-0, and let M (sic) X be a complete immersed surface of constant mean curvature H is an element of [ 0, H-0] with index at most I. For such M (sic) X, we prove a structure theorem which describes how the interesting ambient geometry of the immersion is organized locally around at most I points of M, where the norm of the second fundamental form takes on large local maximum values.},
organization = {Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ)
	400966/2014-0},
organization = {MINECO/MICINN/FEDER: 
	PID2020-117868GB-I00,
	
	CEX2020-001105-M},
organization = {MCINN/AEI},
organization = {Junta de Andalucía P18-FR-4049},
publisher = {Walter de Gruyter GmbH},
keywords = {Constant mean curvature},
keywords = {Finite index H-surfaces},
keywords = {Area estimates for constant mean curvature surfaces},
keywords = {Curvature estimates for one-sided stable minimal surfaces},
title = {Hierarchy structures in finite index CMC surfaces},
doi = {10.1515/acv-2022-0113},
author = {Meeks III, William H. and Pérez Muñoz, Joaquín},
}