@misc{10481/85442,
year = {2023},
month = {10},
url = {https://hdl.handle.net/10481/85442},
abstract = {A theorem by Almgren establishes that any minimal 2-sphere immersed in 
 is a totally geodesic equator. In this paper we give a purely geometric extension of Almgren’s result, by showing that any immersed, real analytic 2-sphere in 
 that is saddle, i.e., of non-positive extrinsic curvature, must be an equator of 
. We remark that, contrary to Almgren’s theorem, no geometric PDE is imposed on the surface. The result is not true for 
 spheres.},
organization = {Projects PID2020-118137GB-I00},
organization = {CEX2020-001105-M},
organization = {MCIN/AEI /10.13039/501100011033},
organization = {Junta de Andalucia grant no.
P18-FR-4049},
organization = {CARM},
organization = {Programa Regional de Fomento de la Investigación, Fundación Séneca-Agencia
de Ciencia y Tecnología Región de Murcia, reference 21937/PI/22},
organization = {Projects 2020/03431-6},
organization = {2021/10181-9, funded by São Paulo Research Foundation (FAPESP)},
publisher = {Springer Nature},
keywords = {53A10},
keywords = {53C42},
title = {Analytic saddle spheres in S3 are equatorial},
doi = {10.1007/s00208-023-02741-4},
author = {Gálvez López, José Antonio and Mira, Pablo and Tassi, Marcos P.},
}