4-Manifolds
A GAP THEOREM FOR HALF-CONFORMALLY-FLAT 4-MANIFOLDS
... In this chapter we prove an ε-regularity theorem for anti-self-dual 4-manifolds with W m,4 -bounds on the scalar curvature. This is the basic ingredient that allows us to control the geometry and ...
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Hamilton, Mark (2008): On symplectic 4-manifolds and contact 5-manifolds. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... on 4-dimensional manifolds and contact structures on 5-dimensional ...tic 4-manifolds under connected ...symplectic 4-manifolds. For the generalized fibre sum construction of ...
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A Gap Theorem For Half-Conformally-Flat 4-Manifolds
... In this chapter we prove an ε-regularity theorem for anti-self-dual 4-manifolds with W m,4 -bounds on the scalar curvature. This is the basic ingredient that allows us to control the geometry and ...
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Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group
... provide manifolds with both 12χ − c small and arbitrarily ...larger manifolds, thus filling in considerably many more ...irreducible 4-manifolds with finite abelian, yet non-cyclic fundamental ...
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4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations
... In this section we recall the fiber sum construction, which can be used to canonically associate a 4-manifold X = X(P, L) to a link L in a 3-manifold P. Under this construction, suitable fibrations of P give ...
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The curve cone of almost complex 4 manifolds
... We give a careful analysis of the curve cone for all possible tamed almost complex structures on C P 2 #2 C P 2 in Section 3. In particular, we show that there are at least two embedded −1 rational curves for any tamed ...
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A remark on four dimensional almost Kähler Einstein manifolds with negative scalar curvature
... Sekigawa [8] proved that the conjecture is true if the scalar curvature τ of M is nonnegative. But the conjecture is still open in the case where τ is negative. Recently, applying the Seiberg-Witten theory, Itoh ...
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Parallizable manifolds and the fundamental group
... In particular, the van- ishing of the Euler characteristic severely restricts the groups which can occur as fundamental groups of smooth closed parallelizable 4-manifolds.. In fact, for [r] ...
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The Seiberg-Witten equations on 3-manifolds with boundary
... xii List of Notations YM , £ energy functional on 4-manifolds CSV Chern-Simons-Dirac functional on 3-manifolds F Dirac functional on Riemann surfaces CIV, g Clifford module on vector spa[r] ...
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First-guess generation of solar sail interplanetary heteroclinic connections
... In this section, the transfer mechanism to design solar sail heteroclinic connections is described. The key idea to generate first guess solutions is to replace invariant manifolds with solar sail ded- icated ...
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Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound
... Remark 3.1.2. The idea to use the bounds for the first eigenvalue on small sets to get estimates for higher eigenvalues is not new; see, for example, the already mentioned papers by Cheng [11], Gromov [21, Appendix C], ...
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GEODESICS IN LORENTZIAN MANIFOLDS
... If we let M be a smooth manifold, then denote F(M) as the set of all smooth real-valued functions on M . Some important objects on manifolds may now be discussed. These include tangent vectors, the tangent space, ...
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Unstable attractors in manifolds
... in compact manifolds. However it is not difficult to see that only differentiability near the invariant set is used. Further, since Conley’s index and fixed points are preserved by topological conjugation, the ...
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On contact conformal curvature tensor in LP-Sasakian manifolds
... The contact conformal curvature tensor is a curvature like tensor defined on a contact metric manifold which is constructed from the conformal curvature tensor by using the Boothby-Wang's fibration [1]. Jeong, Lee and ...
7
On the Surgery Theory for Filtered Manifolds
... Livesay filtration (see [3] and [17]). The notion of Browder-Livesay filtration is very useful to investigate assembly maps, iterated Browder-Livesay invariants, surgery spectral sequences, natural maps in surgery theory, ...
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Geometry of the Standard Model of Quantum Physics
... sic idea is: perhaps the solution is not so difficult, perhaps we have not be seeking in the right direction. After his discovery of general relativity, Einstein made numerous attempts [3] to get a theory unifying ...
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CR submanifolds of a nearly trans Sasakian manifold
... 1. Introduction. In 1978, Bejancu introduced the notion of CR-submanifold of a Kaehler manifold [1]. Since then several papers on CR-submanifolds of Kaehler mani- fold have been published. On the other hand, ...
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Calabi-Yau Volumes and Reflexive Polytopes
... Sasaki–Einstein manifolds, Bishop’s Theorem [92] states that its volume is bounded above by that of the round sphere using the standard ...and 4-folds, ...
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On Almost Cosymplectic Manifolds
... Key words: Differentiable manifold, vector field, 1-form, Riemannian metric, curvature tensor.. Let there exist a tensor F of type 1,1, a 1-form u, a vector field U, a Riemannian metric [r] ...
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An Algorithmic Approach to Manifolds »
... on manifolds because of their sound analytical foundation, their strong geometric flavor, and their adaptability to algorithmic treatment, especially using computer algebra and symbolic ...
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