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Results tagged with dg.differential-geometry
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user 14009
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
votes
Accepted
Decomposition which is invariant under the action of holonomy group
Tom Krantz proved that if the holonomy group $H$ of an indecomposable pseudo-Riemannian manifold preserves a non-trivial decomposition $T_xM=V_1\oplus V_2$,
then there exists also an $H$-invariant de …
- 59
0
votes
Accepted
About Kahler curvature operator
The curvature tensor $R_x$ at each point of a Kaehler manifold is a symmetric map $$R:\Lambda^2 T_xM=\Lambda^2\mathbb{R}^{2n}\to \mathfrak{u}(n)\subset\mathfrak{so}(2n)=\Lambda^2\mathbb{R}^{2n},$$
i.e …
- 59
2
votes
Lie groups acting transitively (and isometrically) on anti de Sitter spaces
In my paper
Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups. Rend. Circ. Mat. Palermo (2) Suppl. No. 79 (2006), 87–97.
I …
- 59
1
vote
1
answer
420
views
A subalgebra of the Virasoro algebra
Let $L_n$ ($n\in\mathbb{Z}$) and $c$ be the standard generators of the Virasoro algebra ${\rm Vit}$. In the literature one usually considers the involutive authomorphism given by $\tau(L_n)=-L_{-n}$, …
- 59