caa a22 4500 475741978 CHVBK 20180406123502.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/BF02676324 doi (NATIONALLICENCE)springer-10.1007/BF02676324 Balabaev V. P. G. Demidov Yaroslavl State University, USSR aut Construction of maximal sets of linearly independent vector fields on spheres [Elektronische Daten] [V. Balabaev] We construct explicitly a maximal set of linearly independent vector fields on any odd-dimensional sphere, i.e., in the general case. The differential geometric properties of the constructed fields are studied. In particular, we find their streamlines, calculate the principal curvatures of the second kind and study holonomic properties of the distributions determined by these fields. Kluwer Academic/Plenum Publishers, 2000 orthonormal vector fields on spheres nationallicence Adams theorem nationallicence distributions nationallicence holonomy properties nationallicence Frobenius theorem nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 547-555 0001-4346 67:5<547 2000 67 11006 https://doi.org/10.1007/BF02676324 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676324 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Balabaev V. P. G. Demidov Yaroslavl State University, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 547-555 0001-4346 67:5<547 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer