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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

When Is A Linear Connection A Metric Connection?, Ian M. Anderson, Charles G. Torre Jan 2022

When Is A Linear Connection A Metric Connection?, Ian M. Anderson, Charles G. Torre

Tutorials on... in 1 hour or less

In this worksheet we use the DG software to answer the following question: When is there a metric tensor on M whose Christoffel symbols coincide with the components of a given linear connection?


What's New In Differentialgeometry Release Dg2022, Ian M. Anderson, Charles G. Torre Jan 2022

What's New In Differentialgeometry Release Dg2022, Ian M. Anderson, Charles G. Torre

Tutorials on... in 1 hour or less

This Maple worksheet demonstrates the salient new features and functionalities of the 2022 release of the DifferentialGeometry software package.


The De Rham Decomposition Theorem, Ian M. Anderson, Charles G. Torre Jan 2022

The De Rham Decomposition Theorem, Ian M. Anderson, Charles G. Torre

Tutorials on... in 1 hour or less

In this worksheet we show how the DG software provides for a local implementation of the de Rham decomposition theorem for Riemannian manifolds.