Turkish Journal of Mathematics
Author ORCID Identifier
SAAD MANSOOR: 0000-0002-6227-0386
Abstract
Invariant integration of vectors and tensors over manifolds was introduced around fifty years ago by V.N. Folomeshkin, though the concept appears to not have attracted much attention among researchers. Although it is a sophisticated concept, the operation of the invariant integration of vectors is actually required to correctly solve some problems in mechanics. Two such problems are discussed in the present exposition, in the context of a two-dimensional Euclidean space covered by a polar coordinate system. The notion of invariant integration becomes necessary when the space is described without any reference to a Cartesian coordinate system.
DOI
10.55730/1300-0098.3591
Keywords
centroid, hydrostatics, Invariant integration, mechanics
First Page
312
Last Page
319
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
MANSOOR, SAAD BIN
(2025)
"On the invariant integration of a vector in some problems in mechanics,"
Turkish Journal of Mathematics: Vol. 49:
No.
3, Article 6.
https://doi.org/10.55730/1300-0098.3591
Available at:
https://journals.tubitak.gov.tr/math/vol49/iss3/6
