Let be a smooth map between smooth manifolds and . Then there is an associated linear map from the space of 1-forms on (the linear space of sections of the cotangent bundle) to the space of 1-forms on . This linear map is known as the pullback (by ), and is frequently denoted by . More generally, any covariant tensor field – in particular any differential form – on may be pulled back to using . When the map is a diffeomorphism, then the pullback, together with the pushforward, can be use… WebSmooth terms in a GAM formula are turned into smooth specification objects of class xx.smooth.spec during processing of the formula. Each of these objects is converted to a …
smooth.construct.tensor.smooth.spec: Tensor product smoothing …
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R: Define tensor product smooths in GAM formulae
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