Einstein metrics on connected sums of $S^2\times S^3$

Preprint, Other literature type English OPEN
Kollár, János;
  • Publisher: Lehigh University
  • Journal: issn: 0022-040X
  • Publisher copyright policies & self-archiving
  • Subject: Mathematics - Algebraic Geometry | 53C25 (primary) 32Q20, 14J26 (secondary) | Mathematics - Differential Geometry
    arxiv: Condensed Matter::Quantum Gases | Mathematics::Differential Geometry | Mathematics::Algebraic Geometry | Mathematics::Geometric Topology | Mathematics::Symplectic Geometry

The aim of this paper is to construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of $S^2\times S^3$. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A K\"ahler--Einstein metr... View more
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