Complex structures on $S^{3}\times S^{3}$

Loop Structures on the Homotopy Type of S3 Revisited

On S3-equivariant Homology

We prove that the group S3 (norm 1 quaternions) cannot be a geometric realization of a crossed simplicial group and construct an exact sequence connecting S3equivariant homology of an S3-space with its Pin(2)-equivariant homology. 2000 Mathematics Subject Classification. 19G38, 55T05, 22E40.

Rotational spectroscopy and equilibrium structures of S3 and S4.

The sulfur molecules thiozone S3 and tetrasulfur S4 have been observed in a supersonic molecular beam in the centimeter-wave band by Fourier transform microwave spectroscopy, and in the millimeter- and submillimeter-wave bands in a low-pressure glow discharge. For S3 over 150 rotational transitions between 10 and 458 GHz were measured, and for S4 a comparable number between 6 and 271 GHz. The s...

The Complex Structures on S

In this paper, we show that the twistor space J (R2n+2) on Euclidean space R2n+2 is a Kaehler manifold and the twistor space J (S2n) of the sphere S2n can be realized as a Kaehler submanifold in J (R2n+2). Then we show that an orthogonal almost complex structure Jf on S 2n is integrable if and only if the corresponding section f : S2n → J (S2n) is holomorphic. Hence there is no orthogonal integ...

Complex Structures on Principal Bundles

Holomorphic principal Gbundles over a complex manifold M can be studied using non-abelian cohomology groups H(M,G). On the other hand, if M = Σ is a closed Riemann surface, there is a correspondence between holomorphic principal G-bundles over Σ and coadjoint orbits in the dual of a central extension of the Lie algebra C∞(Σ, g). We review these results and provide the details of an integrabilit...