Eigenvalue estimates for the Dirac operator depending on the Weyl tensor |
| |
| Affiliation: | 1. Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba 305-8571, Japan;2. Institute of Basic Science, Chonnam National University, Gwangju 500-757, Republic of Korea;1. Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia;2. Department of Pure Mathematics, University of Calcutta, West Bengal, India;1. Warsaw University of Technology, Faculty of Materials Science and Engineering, ul. Wołoska 141, 02-507 Warsaw, Poland;2. Institute of Physics Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland;3. Institute of Physical Chemistry Polish Academy of Sciences, ul. Kasprzaka, 44/52, 01-224 Warsaw, Poland;1. Istituto per le Tecnologie della Costruzione (ITC-CNR), via Lombardia, 49, I-20098 San Giuliano Milanese (MI) , Italy;2. Istituto di Scienza e Tecnologia dei Materiali Ceramici (ISTEC-CNR), via Granarolo, 64, I-48018 Faenza (RA) , Italy;3. Dipartimento di Scienze e Tecnologie Chimiche e Centro NAST - Università di Roma Tor Vergata, via della Ricerca Scientifica, I-00133 Roma, Italy;4. CNR–Istituto di Scienze e Tecnologie Molecolari, via Golgi, 19, I-20133 Milano, Italy |
| |
| Abstract: | We prove new lower bounds for the first eigenvalue of the Dirac operator on compact manifolds whose Weyl tensor or curvature tensor, respectively, is divergence-free. In the special case of Einstein manifolds, we obtain estimates depending on the Weyl tensor. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
