[Estimations de valeurs propres pour l'opérateur de Dirac et 1-formes harmoniques de longueur constante]
Nous démontrons que toute valeur propre λ de l'opérateur de Dirac d'une variété spinorielle compacte, de dimension n, qui admet une 1-forme harmonique non-triviale de longueur constante vérifie l'inégalité
We prove that on a compact n-dimensional spin manifold admitting a non-trivial harmonic 1-form of constant length, every eigenvalue λ of the Dirac operator satisfies the inequality
Accepté le :
Publié le :
Andrei Moroianu 1 ; Liviu Ornea 2
@article{CRMATH_2004__338_7_561_0, author = {Andrei Moroianu and Liviu Ornea}, title = {Eigenvalue estimates for the {Dirac} operator and harmonic 1-forms of constant length}, journal = {Comptes Rendus. Math\'ematique}, pages = {561--564}, publisher = {Elsevier}, volume = {338}, number = {7}, year = {2004}, doi = {10.1016/j.crma.2004.01.030}, language = {en}, }
TY - JOUR AU - Andrei Moroianu AU - Liviu Ornea TI - Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length JO - Comptes Rendus. Mathématique PY - 2004 SP - 561 EP - 564 VL - 338 IS - 7 PB - Elsevier DO - 10.1016/j.crma.2004.01.030 LA - en ID - CRMATH_2004__338_7_561_0 ER -
Andrei Moroianu; Liviu Ornea. Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length. Comptes Rendus. Mathématique, Volume 338 (2004) no. 7, pp. 561-564. doi : 10.1016/j.crma.2004.01.030. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.01.030/
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