抄録
We study geometric first order differential operators on quaternionic Kähler manifolds. Their principal symbols are related to the enveloping algebra and Casimir elements for Sp(1)Sp(n). This observation leads to anti-symmetry of the principal symbols and Bochner-Weitzenböck formulas for operators. As an application, we estimate their first eigenvalues.
本文言語 | English |
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ページ(範囲) | 665-691 |
ページ数 | 27 |
ジャーナル | International Journal of Mathematics |
巻 | 17 |
号 | 6 |
DOI | |
出版ステータス | Published - 2006 7月 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)