Abstract
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.
Original language | English |
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Pages (from-to) | 665-691 |
Number of pages | 27 |
Journal | International Journal of Mathematics |
Volume | 17 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2006 Jul |
Externally published | Yes |
Keywords
- Bochner-Weitzenböck formulas
- Casimir elements
- Quaternionic Kähler manifolds
ASJC Scopus subject areas
- Mathematics(all)