TY  - Type of reference 
TI  - The class of second fundamental forms arising from minimal immersions in a space form 
AU  - Marcello Lucia 
AB  - The second fundamental form arising from an oriented minimal immersion of a closed surface in a space form satisfies several constraints. One of them is provided by the Gauss-Codazzi equation that can be rephrased as a semilinear problem on the surface. We discuss some results for these type of nonlinear problems and analyze the behaviors of the solutions when the hyperbolic norm of the second fundamental form is small. 
DO  - 10.21494/ISTE.OP.2024.1100 
JF  - Advances in Pure and Applied Mathematics 
KW  - space forms, minimal surfaces, semilinear elliptic equations, variational methods, 
blowup analysis, space forms, minimal surfaces, semilinear elliptic equations, variational methods, 
blowup analysis,  
L1  - http://openscience.fr/IMG/pdf/iste_apam24v15n2_3.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2024/03/7 
SN  - 1869-6090 
TT  - La classe des secondes formes fondamentales résultant d’immersions minimales dans un espace  forme 
UR  - http://openscience.fr/The-class-of-second-fundamental-forms-arising-from-minimal-immersions-in-a 
IS  - Issue 2 (Special CSMT 2023) 
VL  - 15 
ER  -