Let $X$ be a compact submanifold of $\mathbb CP^n$ such that there exists a semisimple complex linear algebraic group $G$ acts transitively on $X$. If $X$ is $G$-equivariantly embedded in $\mathbb CP^n$. How to show that $X$ is a flag manifold?
2026-03-25 09:32:12.1774431132
Compact submanifold of the projective space and semismple algebraic group action
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