The mirror map and other natural tangent tensors

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1. Verfasser: Albuquerque, R.
Format: Preprint
Veröffentlicht: 2025
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author Albuquerque, R.
author_facet Albuquerque, R.
contents We review the intrinsic geometry of the tangent bundle of a differentiable manifold $M$, aside from any non-natural structures. We recall the properties of the mirror map $B\in\mathrm{End}(TTM)$, known also as the canonical endomorphism or the almost-tangent structure, solve some cohomological questions and raise other induced by the $\mathrm{d}_B$ operator.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10881
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The mirror map and other natural tangent tensors
Albuquerque, R.
Differential Geometry
58A05 58A32
We review the intrinsic geometry of the tangent bundle of a differentiable manifold $M$, aside from any non-natural structures. We recall the properties of the mirror map $B\in\mathrm{End}(TTM)$, known also as the canonical endomorphism or the almost-tangent structure, solve some cohomological questions and raise other induced by the $\mathrm{d}_B$ operator.
title The mirror map and other natural tangent tensors
topic Differential Geometry
58A05 58A32
url https://arxiv.org/abs/2506.10881