Geodesic
Particular trace decompositions and applications of trace decomposition to almost projective invariants
Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 631-637

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
First, by using the formulae of Krupka, the trace decomposition for some particular classes of tensors of types (1, 2) and (1, 3) is obtained. Second, it is proved that the traceless part of a tensor is an almost projective invariant of weight 1. We apply this result to Weyl curvature tensors.
First, by using the formulae of Krupka, the trace decomposition for some particular classes of tensors of types (1, 2) and (1, 3) is obtained. Second, it is proved that the traceless part of a tensor is an almost projective invariant of weight 1. We apply this result to Weyl curvature tensors.
DOI : 10.21136/MB.2001.134205
Classification : 15A72, 53A55
Keywords: traceless tensor; trace decomposition; almost projective invariant 
Crâşmăreanu, Mircea. Particular trace decompositions and applications of trace decomposition to almost projective invariants. Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 631-637. doi: 10.21136/MB.2001.134205
@article{10_21136_MB_2001_134205,
     author = {Cr\^a\c{s}m\u{a}reanu, Mircea},
     title = {Particular trace decompositions and applications of trace decomposition to almost projective invariants},
     journal = {Mathematica Bohemica},
     pages = {631--637},
     year = {2001},
     volume = {126},
     number = {3},
     doi = {10.21136/MB.2001.134205},
     mrnumber = {1970265},
     zbl = {0982.15038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134205/}
}
TY  - JOUR
AU  - Crâşmăreanu, Mircea
TI  - Particular trace decompositions and applications of trace decomposition to almost projective invariants
JO  - Mathematica Bohemica
PY  - 2001
SP  - 631
EP  - 637
VL  - 126
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134205/
DO  - 10.21136/MB.2001.134205
LA  - en
ID  - 10_21136_MB_2001_134205
ER  - 
%0 Journal Article
%A Crâşmăreanu, Mircea
%T Particular trace decompositions and applications of trace decomposition to almost projective invariants
%J Mathematica Bohemica
%D 2001
%P 631-637
%V 126
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134205/
%R 10.21136/MB.2001.134205
%G en
%F 10_21136_MB_2001_134205

[1] Codău, N.: Almost projective invariants for a (M, A)-manifold. Proceedings of Romanian Conference of Geometry and Topology, Târgovişte, 1986, Univ. Bucureşti, 1988. (Romanian) | MR

[2] Krupka, D.: The trace decomposition of tensors of type (1, 2) and (1, 3). New Developments in Differential Geometry (Debrecen, 1994), Math. Appl., 350, Kluwer Academic Publ., Dordrecht, 1996, 243–253. | MR | Zbl

[3] Krupka, D.: The trace decomposition problem. Beiträge Algebra Geom. 36 (1995), 303–315. | MR | Zbl

[4] Mikeš, J.: On the general trace decomposition problem. Proc. Conf., Aug. 28–Sept. 1, 1995 Brno, Czech Republic, Masaryk Univ., Brno, 1996, pp. 45–50. | MR

[5] Lakomá, L., Mikeš, J.: On the special trace decomposition problem on quaternion structure. Proceedings of the Third International Workshop on Differential Geometry and Its Applications and the First German-Romanian Seminar on Geometry (Sibiu, 1997), Gen. Math. 5 (1997), 225–230. | MR

[6] Vrânceanu, Gh.: Leçons de Géométrie Différentielle, vol. I. Ed. Academiei, Bucarest, 1957. | MR

[7] Vrânceanu, Gh.: Leçons de Géométrie Différentielle, vol. III. Ed. Academiei, Bucarest and Gauthier-Villars, Paris, 1964. | MR

Cité par Sources :