Abstract
The present chapter is divided into three parts. In Section 2.1, we recall the definitions and basic properties of exterior forms. All notions introduced there are standard and, therefore, our presentation will be very brief. We refer for further developments to the classic books on the subject–for example, Bourbaki [15], Bryant, Chern, Gardner, Goldschmidt and Griffiths [18], Godbillon [51], Godement [52], Greub [54], or Lang [67]. In what follows we will only consider the finite vector space Rn, n = 1, over R. However, we can obviously replace Rn by any finite n-dimensional vector space over a field K of characteristic 0.
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