✦ LIBER ✦

Eigenvalue estimates for the Dirac operator depending on the Weyl tensor

✍ Scribed by Thomas Friedrich; Klaus-Dieter Kirchberg

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 87 KB
Volume: 41
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(01)00055-9

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Eigenvalue estimates of the Dirac operat

Eigenvalue estimates of the Dirac operator depending on the Ricci tensor

✍ T. Friedrich; K.-D. Kirchberg 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 170 KB

Eigenvalue estimates for the Dirac opera

Eigenvalue estimates for the Dirac operator on quaternionic Kähler manifolds

✍ W. Kramer; U. Semmelmann; G. Weingart 📂 Article 📅 1999 🏛 Springer-Verlag 🌐 French ⚖ 206 KB

Extrinsic estimates for eigenvalues of t

Extrinsic estimates for eigenvalues of the Dirac operator

✍ Daguang Chen 📂 Article 📅 2008 🏛 Springer-Verlag 🌐 French ⚖ 220 KB

Eigenvalue estimates for the Dirac–Schrö

Eigenvalue estimates for the Dirac–Schrödinger operators

✍ Bertrand Morel 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 121 KB

Eigenvalue estimates for the Dirac opera

Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension

✍ K.-D. Kirchberg 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 178 KB

Eigenvalue Boundary Problems for the Dir

Eigenvalue Boundary Problems for the Dirac Operator

✍ Oussama Hijazi; Sebastián Montiel; Antonio Roldán 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 130 KB