Estimating the eigenvalues on quaternionic Kähler manifolds

研究成果: Article

5 引用 (Scopus)

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.

元の言語English
ページ(範囲)665-691
ページ数27
ジャーナルInternational Journal of Mathematics
17
発行部数6
DOI
出版物ステータスPublished - 2006 7
外部発表Yes

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Eigenvalue
Enveloping Algebra
First Eigenvalue
Differential operator
First-order
Symmetry
Operator
Estimate
Observation

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

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abstract = "We study geometric first order differential operators on quaternionic K{\"a}hler 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-Weitzenb{\"o}ck formulas for operators. As an application, we estimate their first eigenvalues.",
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