Geodesic
Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\$ Odd Killing Vectors Fields
Archivum mathematicum, Tome 56 (2020) no. 3, pp. 153-170 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume.
We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume.
DOI : 10.5817/AM2020-3-153
Classification : 17B66, 57R20, 57R25, 58A50, 58B20
Keywords: Q-manifolds; Riemannian supermanifolds; Killing vector fields; modular classes 
@article{10_5817_AM2020_3_153,
     author = {Bruce, Andrew James},
     title = {Modular {Classes} of {Q-Manifolds,} {Part} {II:} {Riemannian} {Structures} $\&$ {Odd} {Killing} {Vectors} {Fields}},
     journal = {Archivum mathematicum},
     pages = {153--170},
     year = {2020},
     volume = {56},
     number = {3},
     doi = {10.5817/AM2020-3-153},
     mrnumber = {4156442},
     zbl = {07250676},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2020-3-153/}
}
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Bruce, Andrew James. Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields. Archivum mathematicum, Tome 56 (2020) no. 3, pp. 153-170. doi: 10.5817/AM2020-3-153

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