منابع مشابه
Mathematische Zeitschrift On Einstein four-manifolds with S1-actions
We study closed Einstein 4-manifolds which admit S1 actions of a certain type, i.e., warped products. In particular, we classify them up to isometry when the fixed point of the S1 action satisfies certain natural geometric conditions. The proof uses the Bochner-Weitzenböck formula for 1-forms and the theory of minimal surfaces in 3-manifolds.
متن کاملSome 6 Dimensional Hamiltonian S1-manifolds
In an earlier paper we explained how to convert the problem of symplectically embedding one 4-dimensional ellipsoid into another into the problem of embedding a certain set of disjoint balls into CP 2 by using a new way to desingularize orbifold blow ups Z of the weighted projective space CP 2 1,m,n. We now use a related method to construct symplectomorphisms of these spaces Z. This allows us t...
متن کاملOn Spin Z 6 - Actions on Spin 4 - Manifolds 1
Let X be a smooth, closed, connected spin 4-manifold with b1(X) = 0 and non-positive signature σ(X). In this paper we use SeibergWitten theory to prove that if X admits a spin Z6 action of even type, then b+2 (X) ≥ |σ(X)|/8 + 2 under some non-degeneracy conditions. AMS Mathematics Subject Classification (2000): 57R57, 57M60, 57R15
متن کاملSemi-free Hamiltonian Circle Actions on 6 Dimensional Symplectic Manifolds
Assume (M,ω) is a connected, compact 6 dimensional symplectic manifold equipped with a semi-free Hamiltonian circle action, such that the fixed point set consists of isolated points or compact orientable surfaces. We restrict attention to the case dim H(M) < 3. We give a complete list of the possible manifolds, determine their equivariant cohomology ring and equivariant Chern classes. Some of t...
متن کاملIntersection Cohomology of S1-actions on Pseudomanifolds
For any smooth free action of the unit circle S in a manifold M ; the Gysin sequence of M is a long exact sequence relating the DeRham cohomologies of M and its orbit space M/S. If the action is not free then M/S is not a manifold but a stratified pseudomanifold and there is a Gysin sequence relating the DeRham cohomology of M with the intersection cohomology of M/S. In this work we extend the ...
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ژورنال
عنوان ژورنال: Topology
سال: 1972
ISSN: 0040-9383
DOI: 10.1016/0040-9383(72)90023-7