Tohoku Mathematical Journal
2026
September
SECOND SERIES VOL. 78, NO. 3

Tohoku Math. J.
78 (2026), 413-422

Title POLARS OF $Pin^c$ GROUPS AND RELATED COMPACT LIE GROUPS

Author Hiroyuki Tasaki

(Received December 25, 2024, revised February 14, 2025)
Abstract. We explicitly describe polars of $Pin^c$ groups and related compact Lie groups and realize all of oriented real Grassmann manifolds as polars in $Pin^c$ groups.

Mathematics Subject Classification. Primary 53C35.
Key words and phrases. $Pin^c$ group, polar, oriented real Grassmann manifold.

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