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Bando-Futaki invariants on hypersurfaces
- Source :
- Transactions of the American Mathematical Society. 362:2923-2962
- Publication Year :
- 2010
- Publisher :
- American Mathematical Society (AMS), 2010.
-
Abstract
- In this paper, the Bando-Futaki invariants on hypersurfaces are derived in terms of the degree of the defining polynomials, the dimension of the underlying projective space, and the given holomorphic vector field. In addition, the holomorphic invariant introduced by Tian and Chen (Ricci Flow on K\"ahler-Einstein surfaces) is proven to be the Futaki invariant on compact K\"ahler manifolds with positive first Chern class.<br />Comment: 44 pages
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
Chern class
Degree (graph theory)
Mathematics::Complex Variables
Applied Mathematics
General Mathematics
Dimension (graph theory)
Mathematical analysis
Holomorphic function
Ricci flow
Differential Geometry (math.DG)
32J27
FOS: Mathematics
Projective space
Vector field
Mathematics::Differential Geometry
Invariant (mathematics)
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- ISSN :
- 00029947
- Volume :
- 362
- Database :
- OpenAIRE
- Journal :
- Transactions of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....dafa2c0bea65b22bc5b6ebcd4d2abd64