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This tag is used if a reference is needed in a paper or textbook on a specific result.

3 votes
0 answers
255 views

Uniqueness of scalar curvature

I'm reading Gromov's notes http://www.ihes.fr/~gromov/topics/SpacesandQuestions.pdf and at page 7 they say that there is a unique second order differential operator $S$ from the space of Riemannian m …
David P's user avatar
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1 vote
1 answer
113 views

Minimal Legendrian submanifolds and laplacian of particular functions

I'm reading the paper Lê, Hôngvân(D-MPI-NS); Wang, Guofang(PRC-ASBJ-MSY) A characterization of minimal Legendrian submanifolds in $S^{2n+1}$. Compositio Math. 129 (2001), no. 1, 87–93. Let $x: L^n …
David P's user avatar
  • 585
1 vote
1 answer
198 views

Derivative of (the length of) the Ricci tensor

I was wondering, have you ever seen a formula in the Riemannian (more specially Kahlerian but not essential) setting for the derivative $X \cdot |Ric|^2 = 2 g(\nabla_X Ric, Ric)$ for a vector field $X …
David P's user avatar
  • 585
8 votes
1 answer
1k views

Spectrum of the Laplacian on p-forms on the sphere

In this paper the authors give an explicit description of the eigenforms and spectrum of the Laplacian acting on $p$-forms on the round sphere $S^n$, apparently citing an unpublished computation of Ca …
David P's user avatar
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