Geodesic
Generalized Goldberg Formula
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 508-520

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed $p$ -form acting on the de Rham algebra of a Riemannian manifold. Our formula generalizes a formula stated by Samuel $\text{I}$ . Goldberg for the case of 1-forms. As first examples of application we obtain new identities on locally conformally Kähler manifolds and quasi-Sasakian manifolds. Moreover, we prove that under suitable conditions a certain subalgebra of differential forms in a compact manifold is quasi-isomorphic as a $\text{CDGA}$ to the full de Rham algebra.
DOI : 10.4153/CMB-2016-007-4
Mots-clés : 53C25, 53D35, graded commutator, Hodge codifferential, Hodge Laplacian, de Rham cohomology, locally conformal Kaehler manifold, quasi-Sasakian manifold 
Nicola, Antonio De; Yudin, Ivan. Generalized Goldberg Formula. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 508-520. doi: 10.4153/CMB-2016-007-4
@article{10_4153_CMB_2016_007_4,
     author = {Nicola, Antonio De and Yudin, Ivan},
     title = {Generalized {Goldberg} {Formula}},
     journal = {Canadian mathematical bulletin},
     pages = {508--520},
     year = {2016},
     volume = {59},
     number = {3},
     doi = {10.4153/CMB-2016-007-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-007-4/}
}
TY  - JOUR
AU  - Nicola, Antonio De
AU  - Yudin, Ivan
TI  - Generalized Goldberg Formula
JO  - Canadian mathematical bulletin
PY  - 2016
SP  - 508
EP  - 520
VL  - 59
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-007-4/
DO  - 10.4153/CMB-2016-007-4
ID  - 10_4153_CMB_2016_007_4
ER  - 
%0 Journal Article
%A Nicola, Antonio De
%A Yudin, Ivan
%T Generalized Goldberg Formula
%J Canadian mathematical bulletin
%D 2016
%P 508-520
%V 59
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-007-4/
%R 10.4153/CMB-2016-007-4
%F 10_4153_CMB_2016_007_4

Cité par Sources :