Geodesic
Restriction of the Tangent Bundle of G/P to a Hypersurface
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 218-222

Voir la notice de l'article provenant de la source Cambridge University Press

Let $P$ be a maximal proper parabolic subgroup of a connected simple linear algebraic group $G$ , defined over $\mathbb{C}$ , such that $n\,:=\,{{\dim}_{\mathbb{C}}}\,G/P\,\ge \,4$ . Let $\iota :\,Z\,\to \,G/P$ be a reduced smooth hypersurface of degree at least $\left( n\,-\,1 \right)\,.\,\deg \text{ree}\left( T\left( G/P \right) \right)/n$ . We prove that the restriction of the tangent bundle ${{\iota }^{*}}\,TG/P$ is semistable.
DOI : 10.4153/CMB-2010-005-1
Mots-clés : 14F05, 14J60, 14M15, tangent bundle, homogeneous space, semistability, hypersurface 
Biswas, Indranil. Restriction of the Tangent Bundle of G/P to a Hypersurface. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 218-222. doi: 10.4153/CMB-2010-005-1
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