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ON SOME AFFINE CONNECTIONS ON MANIFOLDS WITH ALMOST CONTACT 3-STRUCTURE

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1996-1997
Author Name
Abstract (2. Language): 
In this paper, we shall study affine connections on manifolds with almost contact structure and with almost contact 3-structure. Using Obata's operators associated to an almost contact structure ( <p, £ rj) or a three almost contact structures ( (p ,, rj ') (i = 1,2,3) and Wilde's method of characterizing the set of solutions of a system of tensoria! equations are found all the (<p,Ç,rj)-dîïm& connections and (<prj '^-affine connections and their groups of transformations.
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_55-56_pp_67-73.pdf
67-73
  • English

REFERENCES

References: 

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D.E.Blair
. Contact manifolds in Riemannian geometry, Lecture Notes in Mathematics 509, Springer-Verlag, Berlin,1976
2
P.Matzeu, Su una caratterizzazione deiie varieta normali, Bolletino U.M.I., Algebra e Geometria, Serie VI , Vol IV_D,N.1-1985, pp.153-160 3. D.Monar, Affine connections on manifolds with almost contact 3-structure, Riv.Mat.Univ.Parma(4) 14(1988) ,237-248
4
R.Miron et Gh. Atanasiu, Sur les (f,g)-connexions lineaires et I'integrabilite des (f,g)-structures, Bull .Math, de la Soc. Sei. Math, de la R.S. de Roumanie , Tome 30(78), nr.3, 1986,pp.245-256
5N.Soare, On the existence of the linear connections compatible with some (f,g)-structures , Demonstratio Math., Vol. XXIX, No 1.1996, pp.149-154 6 A.C.Wilde, Commutative Projection Operators, Atti Sem.Math.Fis.Univ. Modena, XXXV, 167-172( 1987), pp. 167-172

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