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Some remarks on duality in S 3

Ian Porteous (1999)

Banach Center Publications

In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in S 2 and extend them to curves and surfaces in S 3 .

Some remarks on Lie flows.

Miquel Llabrés, Agustí Reventós (1989)

Publicacions Matemàtiques

The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.

Some remarks on quaternion-Hermitian manifolds

Andrew Swann (1997)

Archivum Mathematicum

Nearly-quaternionic Kähler manifolds of dimension at least  8 are shown to be quaternionic Kähler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic Kähler are also found.

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