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Results tagged with dg.differential-geometry
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user 16792
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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Codifferential of 1-form associated to a Killing vector field
Perhaps the question is quite easy to answer, however, I am encountering a total blackout on it.
If you have given a Killing field $ zeta $ on a Riemannian manifold, you can associate via the metric a …
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Is the volume form on an oriented Riemannian manifold parallel?
These are important questions.
When one starts to define connections, one usually imposes the Leibnitz condition on it. But I am proceeding too fast. First, let's recall what a connection is.
Here we …
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Lie bracket of Invariant Vector fields
The above statement ist true for GL(n). As Deane pointed out, this neceassrily implies that the statement must be true for any subgoup of GL(n) that is a Lie group as well, i.e., any subgriup of GL(n) …
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Yet another 'roadmap' style request- a second bite of the cherry
Differential Geometry and Differential /Algebraic Topology at first is a wide field. The main problem will be that you have to read the books and work the examples. Simply by reading (personal experie …
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Possibility of an Elementary Differential Geometry Course
My personal opinion is that many problems in differential geometry could be avoided if one starts with the classical geometry of curves and surfaces, however, strictly sticks to differential forms and …
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Introductory text on Riemannian geometry
I would differentiate between some books. If you simply want to learn how to calculate things, for instance because you are interested in physics, I'd recommend to you the book "Geometry, Topology and …