대한수학회지 (Journal of the Korean Mathematical Society)

  • 제53권6호
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  • Pages.1347-1370
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  • 2016
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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SASAKIAN TWISTOR SPINORS AND THE FIRST DIRAC EIGENVALUE

  • Kim, Eui Chul (Department of Mathematics College of Education Andong National University)
  • 투고 : 2015.08.29
  • 발행 : 2016.11.01
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초록

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.

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과제정보

연구 과제 주관 기관 : Andong National University

참고문헌

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