[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j150524

SASAKIAN TWISTOR SPINORS AND THE FIRST DIRAC EIGENVALUE

Kim, Eui Chul (Department of Mathematics College of Education Andong National University)

Publication Information

Journal of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1347-1370 More about this Journal

Abstract

On a closed eta-Einstein Sasakian spin manifold of dimension $2m+1{\geq}5$ , $m{\equiv}0$ mod 2, we prove a new eigenvalue estimate for the Dirac operator. In dimension 5, the estimate is valid without the eta-Einstein condition. Moreover, we show that the limiting case of the estimate is attained if and only if there exists such a pair ( ${\varphi}_{{\frac{m}{2}}-1}$ , ${\varphi}_{\frac{m}{2}}$ ) of spinor fields (called Sasakian duo, see Definition 2.1) that solves a special system of two differential equations.

Keywords

Dirac operator; first eigenvalue; Sasakian twistor spinor;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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