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Results tagged with complex-geometry
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user 118688
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
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Use of theory of Lie algebroids in (better) understanding of generalised complex structures
Let $M$ be a smooth manifold. A Lie algebroid over $M$ is a vector bundle $E\rightarrow M$ over $M$, with a Lie bracket on $\Gamma(M,E)$, a morphism of vector bundles $\rho:E\rightarrow TM$, such that …
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references for holomorphic principal bundles (over complex manifolds)
principal bundles in differential geometry is a classical notion and there are so many references that discuss these notion (even in text books). But, when it comes to its version in complex geometry, …
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Use of theory of Lie algebroids in (better) understanding of generalised complex structures
In the introduction chapter of Marco Gualtieri's thesis he says the following:
--- describe and study the Courant bracket, which, while It is not a Lie bracket, does restrict, on involute maximal iso …
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