A. A. Akopyan, A. V. Levichev, “On $\mathrm{SO}(3,3)$ as the projective group of the space $\mathrm{SO}(3)$”, Geometry and topology. Part 13, Zap. Nauchn. Sem. POMI, 476, POMI, St. Petersburg, 2018, 5

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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 476, Pages 5–19 (Mi znsl6721)

On $\mathrm{SO}(3,3)$ as the projective group of the space $\mathrm{SO}(3)$

A. A. Akopyan^a, A. V. Levichev^b

^a Boston University, 985 Commonwealth Ave., Boston, MA 02215, USA
^b Sobolev Institute of Mathematics, Siberian Division of the Russian Academy of Sciences, 4 Koptiug pr., Novosibirsk, 630090, Russia

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Abstract: The fractional linear action of $\mathrm{SO}(3,3)$ on the projective space $\mathrm{SO}(3)$ is proven to be a (globally defined) projective action.

Key words and phrases: $2$-cover of $\mathrm{SO}(3,3)$ by $\mathrm{SL}(4)$, fractional linear action of $\mathrm{SO}(3,3)$ on $\mathrm{SO}(3)$, bi-invariant metrics, geodesics, $2$-cover of $S^1\times \mathrm{SO}(3)$ by Segal's compact cosmos $\mathrm{UU}(2)$.

Received: 03.11.2018

Document Type: Article

UDC: 514.14

Language: English

Citation: A. A. Akopyan, A. V. Levichev, “On $\mathrm{SO}(3,3)$ as the projective group of the space $\mathrm{SO}(3)$”, Geometry and topology. Part 13, Zap. Nauchn. Sem. POMI, 476, POMI, St. Petersburg, 2018, 5–19

Citation in format AMSBIB

\Bibitem{AkoLev18}

\by A.~A.~Akopyan, A.~V.~Levichev

\paper On $\mathrm{SO}(3,3)$ as the projective group of the space $\mathrm{SO}(3)$

\inbook Geometry and topology. Part~13

\serial Zap. Nauchn. Sem. POMI

\yr 2018

\vol 476

\pages 5--19

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl6721}

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https://www.mathnet.ru/eng/znsl/v476/p5

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