manuscripta mathematica

, Volume 130, Issue 3, pp 295–310

Symplectic Dirac operators on Hermitian symmetric spaces

  • Steffen Brasch
  • Katharina Habermann
  • Lutz Habermann
Open AccessArticle

DOI: 10.1007/s00229-009-0289-9

Cite this article as:
Brasch, S., Habermann, K. & Habermann, L. manuscripta math. (2009) 130: 295. doi:10.1007/s00229-009-0289-9

Abstract

We describe the shape of the symplectic Dirac operators on Hermitian symmetric spaces. For this, we consider these operators as families of operators that can be handled more easily than the original ones.

Mathematics Subject Classification (2000)

32M1553C3553D0558J50
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Copyright information

© The Author(s) 2009

Authors and Affiliations

  • Steffen Brasch
    • 1
  • Katharina Habermann
    • 2
  • Lutz Habermann
    • 3
  1. 1.Department of Mathematics and Computer ScienceUniversity of GreifswaldGreifswaldGermany
  2. 2.SUB GöttingenGöttingenGermany
  3. 3.Institute of Differential GeometryUniversity of HannoverHannoverGermany