From 6364d90ac1e39e37a98712a34c126be33071401b Mon Sep 17 00:00:00 2001 From: "Viktor T. Toth" Date: Fri, 16 Jul 2021 10:29:35 -0400 Subject: [PATCH] Adding bivector term to Laplacian itensor demo with torsion --- share/tensor/laplacian.dem | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/share/tensor/laplacian.dem b/share/tensor/laplacian.dem index 3b2ffc4b5..0eafbbea6 100644 --- a/share/tensor/laplacian.dem +++ b/share/tensor/laplacian.dem @@ -66,4 +66,11 @@ ishow(canform(conmetderiv(D2,g)))$ ("Finally, we see that the two results differ only by torsion")$ ishow(canform(D2-D1))$ +("Last but not least, d^2 is not nilpotent in the presence of torsion")$ +extdiff(extdiff(f([],[])))$ +%,icc2,ikt2,ikt1$ +canform(%)$ +%,g$ +ishow(contract(%))$ + ("Reminder: when dim = 2n, the Laplacian is -1 times these results.")$ -- 2.11.4.GIT