|
Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 148–149
(Mi znsl1639)
|
|
|
|
An infinitesimal Rattray theorem
V. V. Makeev Saint-Petersburg State University
Abstract:
Let $X$ be a continuous vector field on the unit Euclidean sphere centered at the origin such that $X(-a)=-X(a)$.
It is proved that there is an orthonormal basis in the space such that for any two vectors $a$ and $b$ in the basis
we have $X(a)\cdot b+a\cdot X(b)=0$. Bibl. – 1 title.
Received: 21.07.2006
Citation:
V. V. Makeev, “An infinitesimal Rattray theorem”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 148–149; J. Math. Sci. (N. Y.), 161:3 (2009), 436
Linking options:
https://www.mathnet.ru/eng/znsl1639 https://www.mathnet.ru/eng/znsl/v353/p148
|
Statistics & downloads: |
Abstract page: | 167 | Full-text PDF : | 37 | References: | 29 |
|