Turkish Journal of Mathematics
Abstract
In this paper, we study different geometric structures that can be defined as section endomorphisms of the generalized tangent bundle $\mathbb TM := TM\oplus T^*M\to M$. This vector bundle admits some structures that arise canonically and other that can be induced from geometric structures defined on the manifold. We comment some well-known examples and present new structures, focusing on the polynomial structures that can be induced in the generalized tangent bundle.
DOI
10.55730/1300-0098.3175
Keywords
Generalized tangent bundle, almost symplectic structure, almost complex structure, almost paracomplex structure, almost product structure, almost tangent structure
First Page
1492
Last Page
1507
Recommended Citation
ETAYO, FERNANDO; NICOLAS, PABLO GOMEZ; and SANTAMARIA, RAFAEL
(2022)
"Induced polynomial structures on generalized geometry,"
Turkish Journal of Mathematics: Vol. 46:
No.
4, Article 28.
https://doi.org/10.55730/1300-0098.3175
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss4/28
