We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Vanishing theorem for irreducible symmetric spaces of noncompact type.
- Authors
Xu Sheng Liu
- Abstract
We prove the following vanishing theorem. Let M be an irreducible symmetric space of noncompact type whose dimension exceeds 2 and M ≠ SO0(2, 2)/ SO(2) × SO(2). Let π: E → M be any vector bundle. Then any E-valued L2 harmonic 1-form over M vanishes. In particular we get the vanishing theorem for harmonic maps from irreducible symmetric spaces of noncompact type.
- Subjects
VANISHING theorems; COMPLEX manifolds; SYMMETRIC spaces; DIFFERENTIAL geometry; MATHEMATICAL mappings
- Publication
Acta Mathematica Sinica, 2010, Vol 26, Issue 2, p361
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-010-6698-6