Killing and conformal Killing tensors

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• 作者：Konstantin Heil^a ; ^{konstantin.heil@mathematik.uni-stuttgart.de" class="auth_mail" title="E-mail the corresponding author} ; Andrei Moroianu^b ; ^{andrei.moroianu@math.cnrs.fr" class="auth_mail" title="E-mail the corresponding author} ; Uwe Semmelmann^a ; ^{uwe.semmelmann@mathematik.uni-stuttgart.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 53C25 ; 53C27 ; 53C40
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：106
• 期：Complete
• 页码：383-400
• 全文大小：465 K

文摘

We introduce an appropriate formalism in order to study conformal Killing (symmetric) tensors on Riemannian manifolds. We reprove in a simple way some known results in the field and obtain several new results, like the classification of conformal Killing 2-tensors on Riemannian products of compact manifolds, Weitzenböck formulas leading to non-existence results, and construct various examples of manifolds with conformal Killing tensors.