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Results tagged with dg.differential-geometry
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user 117228
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
16
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0
answers
434
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Relationship between the twistor spaces due to Penrose and Salamon
In Penrose's construction of the twistor space of Minkowski spacetime $\mathbb R^{1,3}$, we first complexify $\mathbb R^{1,3}$ to $\mathbb C^4$ and then think of points in it as matrices acting on $\m …
- 271
6
votes
0
answers
354
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Quantifying the failure of geometric formality in K3 surfaces
It is known that K3 surfaces are never geometrically formal [1]. That is, the wedge product of two harmonic forms on an arbitrary K3 surface is in general not harmonic, or equivalently, the space $\ma …
- 271
0
votes
What is the obstruction to the existence of a global Kahler potential?
Here's a geometric way to think about the obstruction. Consider a holomorphic line bundle $L$ over a complex manifold $M$ and let $h \in \Gamma\big(\overline{L}\,^*\otimes L^*\big)$ be a Hermitian for …
- 271