Geodesic
Corrigendum to “On the Morse index for geodesic lines on smooth surfaces embedded in $\mathbb R^3$”
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 293-294 
M. M. Popov. Corrigendum to “On the Morse index for geodesic lines on smooth surfaces embedded in $\mathbb R^3$”. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 293-294. http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a18/
@article{ZNSL_2021_506_a18,
     author = {M. M. Popov},
     title = {Corrigendum to {{\textquotedblleft}On} the {Morse} index for geodesic lines on smooth surfaces embedded in $\mathbb R^3${\textquotedblright}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {293--294},
     year = {2021},
     volume = {506},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a18/}
}
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%F ZNSL_2021_506_a18

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

An error in the previous author's paper is indicated, and a correct approach to solving the problem considered is presented.

[1] M.M. Popov, “Ob indekse Morsa geodezicheskikh na gladkikh poverkhnostyakh, vlozhennykh v $\mathbb R^3$”, Zap. nauchn. semin. POMI, 471, 2018, 211–224