Affine connections on almost para-cosymplectic manifolds

Adara M. Blaga

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 3, page 863-871
  • ISSN: 0011-4642

Abstract

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Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.

How to cite

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Blaga, Adara M.. "Affine connections on almost para-cosymplectic manifolds." Czechoslovak Mathematical Journal 61.3 (2011): 863-871. <http://eudml.org/doc/196513>.

@article{Blaga2011,
abstract = {Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.},
author = {Blaga, Adara M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {para-cosymplectic manifold; harmonic product structure; para-cosymplectic manifold; harmonic product structure},
language = {eng},
number = {3},
pages = {863-871},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Affine connections on almost para-cosymplectic manifolds},
url = {http://eudml.org/doc/196513},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Blaga, Adara M.
TI - Affine connections on almost para-cosymplectic manifolds
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 3
SP - 863
EP - 871
AB - Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.
LA - eng
KW - para-cosymplectic manifold; harmonic product structure; para-cosymplectic manifold; harmonic product structure
UR - http://eudml.org/doc/196513
ER -

References

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  6. Olszak, Z., 10.2996/kmj/1138036371, Kodai Math. J. 4 (1981), 239-250. (1981) Zbl0451.53035MR0630244DOI10.2996/kmj/1138036371
  7. Prvanović, M., Holomorphically projective transformations in a locally product space, Math. Balk. 1 (1971), 195-213. (1971) MR0288710
  8. Schäfer, L., 10.1016/j.difgeo.2005.07.001, Differ. Geom. Appl. 24 (2006), 60-89. (2006) Zbl1093.53046MR2193748DOI10.1016/j.difgeo.2005.07.001
  9. Xin, Y. L., Geometry of Harmonic Maps. Progress in Nonlinear Differential Equations and Their Applications 23, Birkhäuser Boston (1996). (1996) MR1391729

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