On Hopf's theorems for relative rotation
Trudy Instituta matematiki, Tome 15 (2007) no. 1, pp. 33-46
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The generalizations of Hopf's theorem on homotopic classification and Hopf's theorem on the continuation without zeros for the relative rotation of finite-dimensional and completely continuous vector fields are proved. The notion of the relative rotation of vector fields with compactly restricted operators is introduced. Hopf's classification theorem for such vector fields is also proved.
@article{TIMB_2007_15_1_a4,
author = {A. V. Guminskaya and P. P. Zabreiko},
title = {On {Hopf's} theorems for relative rotation},
journal = {Trudy Instituta matematiki},
pages = {33--46},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a4/}
}
A. V. Guminskaya; P. P. Zabreiko. On Hopf's theorems for relative rotation. Trudy Instituta matematiki, Tome 15 (2007) no. 1, pp. 33-46. http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a4/