On the geometry of orbits of Killing vector fields
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 215 (2022), pp. 32-39
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This paper is a brief review of results in the theory of Killing vector fields defined on Riemannian manifolds of constant and nonnegative curvature.
Keywords:
vector field, Killing vector field, orbifold, Lie bracket, Riemannian foliation.
Mots-clés : foliation
Mots-clés : foliation
@article{INTO_2022_215_a2,
author = {Zh. O. Aslonov},
title = {On the geometry of orbits of {Killing} vector fields},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {32--39},
publisher = {mathdoc},
volume = {215},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2022_215_a2/}
}
TY - JOUR AU - Zh. O. Aslonov TI - On the geometry of orbits of Killing vector fields JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2022 SP - 32 EP - 39 VL - 215 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2022_215_a2/ LA - ru ID - INTO_2022_215_a2 ER -
Zh. O. Aslonov. On the geometry of orbits of Killing vector fields. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 215 (2022), pp. 32-39. http://geodesic.mathdoc.fr/item/INTO_2022_215_a2/