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Cibotaru, Daniel; Moroianu, Sergiu

Odd Pfaffian forms. (English) Zbl 1480.58001

Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 915-976 (2021).
The authors define a volume form called the odd Pfaffian through a certain invariant polynomial with integral coefficients in the curvature tensor. Moreover, some applications are provided to illustrate the theoretical results.
Reviewer: Savin Treanta (Bucureşti)

Cited in 2 Documents

MSC:

58A10 Differential forms in global analysis
58A17 Pfaffian systems
53C05 Connections (general theory)
57R18 Topology and geometry of orbifolds

Keywords:

Gauss-Bonnet; transgression; Pfaffian; degenerate metric; edge degeneration; fibered boundary
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References:

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