| Title | A LICHNEROWICZ-TYPE RESULT ON A SEVEN-DIMENSIONAL QUATERNIONIC CONTACT MANIFOLD |
| Publication Type | Journal Article |
| Year of Publication | 2013 |
| Authors | Petkov A |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 101 |
| Keywords | 3-Sasakian, First Eigenvalue, Lichnerowicz Inequality, Quaternionic Contact Structures, Sub-Laplacian |
| Abstract | In this paper we establish an analogue of the classical Lichnerowicz' theorem giving a sharp lower bound of the rst non-zero eigenvalue of the sub-Laplacian on a compact seven-dimensional quaternionic contact manifold, assuming a lower bound of the qc-Ricci tensor, torsion tensor and its distinguished covariant derivatives. |
| 2000 MSC | main 53C21, secondary 58J60, 53C17, 35P15, 53C25 |
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 101-193-213.pdf | 261.97 KB |