Yıl: 2020 Cilt: 69 Sayı: 2 Sayfa Aralığı: 1310 - 1319 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.650697 İndeks Tarihi: 09-09-2021

POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS

Öz:
We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi- slant and pointwise slant Riemannian submersions. We give an example for pointwise bi-slant submersions and investigate integrability and totally geodes- icness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field. Also we obtain nec- essary and sufficient conditions for such submersions to be totally geodesic maps.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Akyol, M.A.,Gündüzalp, Y., Hemi-slant submersions from almost product Riemannian man- ifolds, Gulf Journal of Mathematics, 4(3) (2016), 15-27.
  • [2] Akyol, M.A., Sarı, R., On semi-slant ⊥-Riemannian submersions, Mediterr. J. Math., 14 (2017), 234(20 pp).
  • [3] Akyol, M.A.Sahin, B., Conformal slant submersions, Hacet. J. Math. Stat., 48 (2019), 28-44.
  • [4] Alqahtani, L.S., Stankovic, M.S., Uddin, S., Warped Product Bi-slant Submanifolds of Cosymplectic Manifolds, Filomat, 31(16) (2017), 5065-5071.
  • [5] Aykurt Sepet, S., Ergüt,M., Pointwise slant submersions from cosymplectic manifolds, furk. J. Math., 40 (2016), 582-593.
  • [6] Baird, P., Wood, J.C., Harmonic morphisms between Riemannian manifolds, London Math- ematical Society Monographs, Oxford University Press, Oxford, 2003.
  • [7] Blair, D.E., Contact manifolds in Riemannian geometry, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p., 1976.
  • [8] Carriazo, A., Bi-slant Immersions, Proceeding of the IGRAMS, (2000), 88-97.
  • [9] Chen, B.Y., Slant immersions, Bull. Austral. Math. Soc., 41(1990), 135-147.
  • [10] Erken, I˙.K., Murathan, C., On Slant Riemannian Submersions for Cosymplectic Manifolds, Bull. Korean Math. Soc., (2014), 51, 1749-1771.
  • [11] Etayo, F., On quasi-slant submanifolds of an almost Hermitian manifold, Publ. Math. Debre− cen, 51 (1998), 217-223.
  • [12] Falcitelli, M., Ianus, S., Pastore, A.M., Riemannian Submersions and Related Topics, World Scientific, River Edge, NJ, 2004.
  • [13] Gray, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech., 16 (1967), 715-737.
  • [14] Gündüzalp, Y., Semi-slant submersions from almost product Riemannian manifolds, Demon− stratio Mathematica, 49(3) (2016), 345-356.
  • [15] Gündüzalp, Y., Akyol, M.A., Conformal slant submersions from cosymplectic manifolds, furk. J. Math., 42 (2018), 2672-2689.
  • [16] Lee, J.W., S¸ ahin, B., Pointwise slant submersions, Bull. Korean Math. Soc., 51(4) (2014), 1115-1126.
  • [17] Ludden, G.D., Submanifolds of cosymplectic manifolds, J. Differential Geom., 4 (1970), 237- 244.
  • [18] O'Neill, B., The fundamental equations of a submersion, Mich. Math. J., 13 (1966), 458-469.
  • [19] Sayar, C., Özdemir, F., Ta¸stan, H.M., Pointwise semi-slant submersions whose total manifolds are locally product Riemannian manifolds, International Journal of Maps in Mathematics, 1 (2018), 91-115.
  • [20] Sayar, C., Ta¸stan, H.M., Özdemir, F., Tripathi, M.M., Generic submersions from Kaehlerian Manifolds, Bull. Malays. Math. Sci. Soc., https://doi.org/10.1007/s40840-018-00716-2.
  • [21] S¸ ahin, B., Anti-invariant Riemannian submersions from almost Hermitian manifolds, Gentral European J. Math., 8(3) (2010), 437-447.
  • [23] Şahin, B., Semi-invariant Riemannian submersions from almost Hermitian manifolds, Gan. Math. Bull., 56 (2011), 173-183.
  • [23] Şahin, B., Slant submersions from almost Hermitian manifolds, Bull. Math. Soc. Sci. Math. Roumanie, 54(102) (2011), 93-105.
  • [24] Taştan, H.M., S¸ ahin, B., Yanan, S¸ ., Hemi-slant submersions, Mediterr. J. Math., 13 (2016), 2171-2184.
  • [25] Taştan, H.M., Lagrangian submersions from normal almost contact manifolds, Filomat, 31(12) (2017), 3885-3895.
  • [26] Taştan, H.M., Gerdan Aydın, S., Clairaut anti-invariant submersions from cosymplectic man- ifolds, Honam Mathematical J., 41(4) (2019), 707-724.
  • [27] Uddin, S., Chen, B.Y., Al-Solamy, F.R., Warped Product Bi-slant Immersions in Kaehler Manifolds , Mediterr. J. Math, 14(95) (2017).
  • [28] Watson, B., Almost Hermitian submersions, J. Differential Geometry, 11(1) (1976), 147-165.
APA aykurt sepet s, Ergüt M (2020). POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. , 1310 - 1319. 10.31801/cfsuasmas.650697
Chicago aykurt sepet sezin,Ergüt Mahmut POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. (2020): 1310 - 1319. 10.31801/cfsuasmas.650697
MLA aykurt sepet sezin,Ergüt Mahmut POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. , 2020, ss.1310 - 1319. 10.31801/cfsuasmas.650697
AMA aykurt sepet s,Ergüt M POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. . 2020; 1310 - 1319. 10.31801/cfsuasmas.650697
Vancouver aykurt sepet s,Ergüt M POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. . 2020; 1310 - 1319. 10.31801/cfsuasmas.650697
IEEE aykurt sepet s,Ergüt M "POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS." , ss.1310 - 1319, 2020. 10.31801/cfsuasmas.650697
ISNAD aykurt sepet, sezin - Ergüt, Mahmut. "POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS". (2020), 1310-1319. https://doi.org/10.31801/cfsuasmas.650697
APA aykurt sepet s, Ergüt M (2020). POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69(2), 1310 - 1319. 10.31801/cfsuasmas.650697
Chicago aykurt sepet sezin,Ergüt Mahmut POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69, no.2 (2020): 1310 - 1319. 10.31801/cfsuasmas.650697
MLA aykurt sepet sezin,Ergüt Mahmut POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.69, no.2, 2020, ss.1310 - 1319. 10.31801/cfsuasmas.650697
AMA aykurt sepet s,Ergüt M POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1310 - 1319. 10.31801/cfsuasmas.650697
Vancouver aykurt sepet s,Ergüt M POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1310 - 1319. 10.31801/cfsuasmas.650697
IEEE aykurt sepet s,Ergüt M "POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69, ss.1310 - 1319, 2020. 10.31801/cfsuasmas.650697
ISNAD aykurt sepet, sezin - Ergüt, Mahmut. "POINTWISE BI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69/2 (2020), 1310-1319. https://doi.org/10.31801/cfsuasmas.650697