Differential Forms

Manjusha Majumdar () and Arindam Bhattacharyya
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Manjusha Majumdar: University of Calcutta, Department of Pure Mathematics
Arindam Bhattacharyya: Jadavpur University, Department of Mathematics

Chapter Chapter 3 in An Introduction to Smooth Manifolds, 2023, pp 129-173 from Springer

Abstract: Abstract A linear mapping $$\omega :\chi (M)\rightarrow F(M)$$ ω : χ ( M ) → F ( M ) denoted by $$X\mapsto \omega (X)$$ X ↦ ω ( X ) is also called a 1-form on M. Let $$\mathfrak {D}_{_{1}}(M) = \{\omega ,\mu ,\ldots ,\ldots \big |\;\omega :\chi (M)\rightarrow F(M)\}$$ D 1 ( M ) = { ω , μ , … , … | ω : χ ( M ) → F ( M ) } be the set of all 1-forms on M. Let us define.

Date: 2023
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DOI: 10.1007/978-981-99-0565-2_3

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