Timeline for Intuition for the Drift Term of the Laplace-Beltrami Operator
Current License: CC BY-SA 3.0
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| Jul 4, 2017 at 8:55 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Jul 4, 2017 at 8:54 | comment | added | Carlo Beenakker | If I look at equations 1-4 of Ref. 2, I see that the torsion tensor $T^\nu_{\nu\beta}dx^\beta$ that appears in the Laplacian operator has a "cotorsion" contribution does not vanish for the Levi-Civita connection. | |
| Jul 3, 2017 at 23:28 | comment | added | user3658307 | Thank you for your answer! I am confused though. I thought the torsion vanishes for the Levi-Civita connection. But the drift term seems to be perfectly existent when using the Christoffel symbols as they are usually defined. Doesn't your answer imply the drift should vanish whenever the Levi-Civita connection is used? | |
| Jul 3, 2017 at 21:46 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| Jul 3, 2017 at 21:21 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |