| 41. | Contact forms are particular differential forms of degree 1 on odd-dimensional manifolds; see contact geometry.
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| 42. | This product can be understood as induced by the exterior product of differential forms in de Rham cohomology.
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| 43. | An exterior derivative of differential forms in differential geometry is an example of such a morphism having negative degree.
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| 44. | Be a differential form and a differentiable-manifold over which we wish to integrate, where has the parameterization
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| 45. | The restriction of the Lie derivative to the space of differential forms is closely related to the exterior derivative.
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| 46. | A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups.
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| 47. | From the differential forms and the exterior derivative, one can define the de Rham cohomology of the manifold.
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| 48. | Furthermore, the linear functional version of a multivector that computes this volume is known as a differential form.
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| 49. | The converse statement of the gradient theorem also has a powerful generalization in terms of differential forms on manifolds.
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| 50. | Where \ text { d } is the exterior derivative and \ wedge the wedge product of differential forms.
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