Differential Geometry

,Differential Geometry,differential geometries,differenti geometrie,differential geometrie,differentiability geometry

Differential Geometry
Publications: 17,592| Citation Count: 78,057
Stemming Variations: differential geometries, differenti geometrie, differential geometrie, differentiability geometry
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    • differential geometry is a recent extension of classical differential geometry on smooth manifolds which, however, does no longer use any notion of Calculus. Instead of smooth functions, one starts with a sheaf of algebras, i.e., the structure sheaf, considered on an arbitrary topological space, which is the base space of all the sheaves subsequently involved. Further, one deals with a sequence of sheaves of modules, interrelated with appropriate ‘differentials’, i.e., suitable ‘Leibniz’ sheaf morphisms, which will constitute the ‘differential complex’...

    Anastasios Mallioset al. Abstract Differential Geometry, Differential Algebras of Generalized F...

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