Araştırma Makalesi
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INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS

Yıl 2012, Cilt: 5 Sayı: 2, 85 - 94, 30.10.2012

Dobrinka Grıbacheva

Öz


Anahtar Kelimeler

Riemannian almost product manifold Riemannian metric product structure natural connection curvature tensor Riemannian P-tensor

Kaynakça

  • [1] Gray, A. and Hervella, L., The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl., 123(1980), 35-58.
  • [2] Gribacheva, D., Natural connections on Riemannian product manifolds, Compt. rend. Acad. bulg. Sci., 64(2011), no. 6, 799-806.
  • [3] Gribacheva, D. , A natural connection on a basic class of Riemannian product manifolds, Int. J. Geom. Methods Mod. Phys., 9(2012), no. 7, 1250057 (14 pages).
  • [4] Gribacheva, D., Curvature properties of two Naveira classes of Riemannian product manifolds, Plovdiv Univ. Sci. Works – Math. (In Press), arXiv:1204.5838.
  • [5] Gribacheva, D. and Mekerov, D., Natural connections on conformal Riemannian P -manifolds, Compt. rend. Acad. bulg. Sci., 65(2012), no. 5, 581-590.
  • [6] Hayden, H., Subspaces of a space with torsion, Proc. London Math. Soc., 34(1934), 27-50.
  • [7] Manev, M. and Ivanova, M., Canonical-type connection on almost contact manifolds with B-metric, arXiv:1203.0137.
  • [8] Manev, M. and Ivanova, M., Almost contact B-metric manifolds with curvature tensor of K¨ahler type, Plovdiv Univ. Sci. Works – Math., 39(2012), no. 3 (In Press), arXiv:1203.3290.
  • [9] Mekerov, D., On Riemannian almost product manifolds with nonintegrable structure, J. Geom., 89(2008), no. 1-2, 119-129.
  • [10] Mihova, V., Canonical connections and the canonical conformal group on a Riemannian almost product manifold, Serdica Math. P., 15(1989), 351-358.
  • [11] Naveira, A. M., A classification of Riemannian almost product manifolds, Rend. Math., 3(1983), 577-592.
  • [12] Staikova, M., Curvature properties of Riemannian P -manifolds, Plovdiv Univ. Sci. Works – Math., 32(1987), no. 3, 241-251.
  • [13] Staikova, M. and Gribachev, K., Canonical connections and their conformal invariants on Riemannian P -manifolds, Serdica Math. P., 18(1992), 150-161.
  • [14] Staikova, M., Gribachev, K. and Mekerov, D., Riemannian P -manifolds of constant sectional curvatures, Serdica Math. J., 17(1991), 212-219.
  • [15] Yano, K., Differential Geometry on Complex and Almost Complex Spaces, Pure and Applied Math., 49, New York, Pergamon Press Book, 1965.

Yıl 2012, Cilt: 5 Sayı: 2, 85 - 94, 30.10.2012

Dobrinka Grıbacheva

Öz

Kaynakça

  • [1] Gray, A. and Hervella, L., The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl., 123(1980), 35-58.
  • [2] Gribacheva, D., Natural connections on Riemannian product manifolds, Compt. rend. Acad. bulg. Sci., 64(2011), no. 6, 799-806.
  • [3] Gribacheva, D. , A natural connection on a basic class of Riemannian product manifolds, Int. J. Geom. Methods Mod. Phys., 9(2012), no. 7, 1250057 (14 pages).
  • [4] Gribacheva, D., Curvature properties of two Naveira classes of Riemannian product manifolds, Plovdiv Univ. Sci. Works – Math. (In Press), arXiv:1204.5838.
  • [5] Gribacheva, D. and Mekerov, D., Natural connections on conformal Riemannian P -manifolds, Compt. rend. Acad. bulg. Sci., 65(2012), no. 5, 581-590.
  • [6] Hayden, H., Subspaces of a space with torsion, Proc. London Math. Soc., 34(1934), 27-50.
  • [7] Manev, M. and Ivanova, M., Canonical-type connection on almost contact manifolds with B-metric, arXiv:1203.0137.
  • [8] Manev, M. and Ivanova, M., Almost contact B-metric manifolds with curvature tensor of K¨ahler type, Plovdiv Univ. Sci. Works – Math., 39(2012), no. 3 (In Press), arXiv:1203.3290.
  • [9] Mekerov, D., On Riemannian almost product manifolds with nonintegrable structure, J. Geom., 89(2008), no. 1-2, 119-129.
  • [10] Mihova, V., Canonical connections and the canonical conformal group on a Riemannian almost product manifold, Serdica Math. P., 15(1989), 351-358.
  • [11] Naveira, A. M., A classification of Riemannian almost product manifolds, Rend. Math., 3(1983), 577-592.
  • [12] Staikova, M., Curvature properties of Riemannian P -manifolds, Plovdiv Univ. Sci. Works – Math., 32(1987), no. 3, 241-251.
  • [13] Staikova, M. and Gribachev, K., Canonical connections and their conformal invariants on Riemannian P -manifolds, Serdica Math. P., 18(1992), 150-161.
  • [14] Staikova, M., Gribachev, K. and Mekerov, D., Riemannian P -manifolds of constant sectional curvatures, Serdica Math. J., 17(1991), 212-219.
  • [15] Yano, K., Differential Geometry on Complex and Almost Complex Spaces, Pure and Applied Math., 49, New York, Pergamon Press Book, 1965.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Dobrinka Grıbacheva

Yayımlanma Tarihi 30 Ekim 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 2

Kaynak Göster

APA Grıbacheva, D. (2012). INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS. International Electronic Journal of Geometry, 5(2), 85-94.
AMA Grıbacheva D. INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS. Int. Electron. J. Geom. Ekim 2012;5(2):85-94.
Chicago Grıbacheva, Dobrinka. “INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS”. International Electronic Journal of Geometry 5, sy. 2 (Ekim 2012): 85-94.
EndNote Grıbacheva D (01 Ekim 2012) INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS. International Electronic Journal of Geometry 5 2 85–94.
IEEE D. Grıbacheva, “INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS”, Int. Electron. J. Geom., c. 5, sy. 2, ss. 85–94, 2012.
ISNAD Grıbacheva, Dobrinka. “INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS”. International Electronic Journal of Geometry 5/2 (Ekim 2012), 85-94.
JAMA Grıbacheva D. INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS. Int. Electron. J. Geom. 2012;5:85–94.
MLA Grıbacheva, Dobrinka. “INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS”. International Electronic Journal of Geometry, c. 5, sy. 2, 2012, ss. 85-94.
Vancouver Grıbacheva D. INVARIANT TENSORS RELATED WITH NATURAL CONNECTIONS FOR A CLASS RIEMANNIAN PRODUCT MANIFOLDS. Int. Electron. J. Geom. 2012;5(2):85-94.