# Special compositions in affinely connected spaces without a torsion

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 3, page 211-220
- ISSN: 1310-6600

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topZlatanov, Georgi. "Special compositions in affinely connected spaces without a torsion." Serdica Mathematical Journal 37.3 (2011): 211-220. <http://eudml.org/doc/281580>.

@article{Zlatanov2011,

abstract = {2000 Mathematics Subject Classification: 53B05, 53B99.Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base manifolds of the composition are introduced. Conditions for the affine deformation tensor of two connections where the composition is simultaneously of the kind (g-g) are found.},

author = {Zlatanov, Georgi},

journal = {Serdica Mathematical Journal},

keywords = {Affinely Connected Spaces; Spaces of Compositions; Affinor of Composition; Tensor of the Affine Deformation; Integrable Structure; Projective Affinors; spaces with affine connections; almost product structure; spaces of compositions},

language = {eng},

number = {3},

pages = {211-220},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Special compositions in affinely connected spaces without a torsion},

url = {http://eudml.org/doc/281580},

volume = {37},

year = {2011},

}

TY - JOUR

AU - Zlatanov, Georgi

TI - Special compositions in affinely connected spaces without a torsion

JO - Serdica Mathematical Journal

PY - 2011

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 37

IS - 3

SP - 211

EP - 220

AB - 2000 Mathematics Subject Classification: 53B05, 53B99.Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base manifolds of the composition are introduced. Conditions for the affine deformation tensor of two connections where the composition is simultaneously of the kind (g-g) are found.

LA - eng

KW - Affinely Connected Spaces; Spaces of Compositions; Affinor of Composition; Tensor of the Affine Deformation; Integrable Structure; Projective Affinors; spaces with affine connections; almost product structure; spaces of compositions

UR - http://eudml.org/doc/281580

ER -

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