On almost α-para-Kenmotsu manifolds satisfyıng certain conditions

İrem Küpeli Erken

doi:10.31801/cfsuasmas.438369

Araştırma Makalesi

On almost α-para-Kenmotsu manifolds satisfyıng certain conditions

Yıl 2019, Cilt: 68 Sayı: 1, 559 - 571, 01.02.2019

İrem Küpeli Erken

https://doi.org/10.31801/cfsuasmas.438369

Öz

In this paper, we study some remarkable properties of almost α-para-Kenmotsu manifolds. We consider projectively flat, conformally flat and concircularly flat almost α-para-Kenmotsu manifolds (with the η-parallel tensor field φh). Finally, we present an example to verify our results.

Anahtar Kelimeler

Almost α-para-Kenmotsu manifold, projectively flat, conformally flat, concircularly flat

Kaynakça

Bejan, C.L., Almost parahermitian structures on the tangent bundle of an almost para-coHermitian manifold, In: The Proceedings of the Fifth National Seminar of Finsler and Lagrange Spaces (Bra sov, 1988), 105--109, Soc. Stiinte Mat. R. S. Romania, Bucharest, 1989.
Boeckx, E. and Cho, J. T., η-parallel contact metric spaces, Differ. Geom. Appl. 22, (2005), 275-285. BuchRosc : Buchner, K. and Rosca, R., Variétes para-coKählerian á champ concirculaire horizontale, C. R. Acad. Sci. Paris 285 (1977), Ser. A, 723-726.
Buchner, K. and Rosca, R., Co-isotropic submanifolds of a para-coKählerian manifold with concicular vector field, J. Geometry, 25 (1985), 164-177.
Cappelletti-Montano, B., Küpeli Erken, I. and Murathan, C., Nullity conditions in paracontact geometry, Diff. Geom. Appl. 30 (2012), 665-693.
Dacko, P., On almost para-cosymplectic manifolds, Tsukuba J. Math. 28 (2004), 193-213. kaneyuki1 : Kaneyuki, S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds, Nagoya Math. J 1985; 99: 173-187.
Küpeli Erken, I., Dacko, P. and Murathan, C., Almost α-paracosymplectic manifolds, J. Geom. Phys., 88 (2015) 30-51. HAKAN : Öztürk, H., Aktan, N. and Murathan, C., Almost α-cosymplectic (κ,μ,ν)-spaces, Submitted. Available in Arxiv:1007.0527 [math. DG].
Öztürk, H., Murathan, C., Aktan, N. and Turgut Vanlı, A., Almost α-cosymplectic f-manifolds, An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 60 no. 1, (2014), 211-226.
Rossca, R. and Vanhecke, L., Súr une variété presque paracokählérienne munie d'une connexion self-orthogonale involutive, Ann. Sti. Univ. "Al. I. Cuza" Ia si 22 (1976), 49-58.
Soos, G., Über die geodätischen Abbildungen von Riemannaschen Räumen auf projektiv symmetrische Riemannsche Räume, Acta. Math. Acad. Sci. Hungar. Tom 9 (1958), 359-361.
Wełyczko, J., On basic curvature identities for almost (para)contact metric manifolds. Available in Arxiv: 1209.4731 [math. DG].
Yano, K., Concircular geometry I, Concircular transformations, Proc. Imp. Acad. Tokyo, 16 (1940), 195-200.
Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, (1984).
Yano, K. and Bochner, S., Curvature and Betti numbers, Annals of mathematics studies, 32, Princeton University Press,1953.
Zamkovoy, S., Canonical connections on paracontact manifolds, Ann. Glob. Anal. Geom. 36 (2009), 37-60.

Yıl 2019, Cilt: 68 Sayı: 1, 559 - 571, 01.02.2019

İrem Küpeli Erken

https://doi.org/10.31801/cfsuasmas.438369

Öz

Kaynakça

Bejan, C.L., Almost parahermitian structures on the tangent bundle of an almost para-coHermitian manifold, In: The Proceedings of the Fifth National Seminar of Finsler and Lagrange Spaces (Bra sov, 1988), 105--109, Soc. Stiinte Mat. R. S. Romania, Bucharest, 1989.
Boeckx, E. and Cho, J. T., η-parallel contact metric spaces, Differ. Geom. Appl. 22, (2005), 275-285. BuchRosc : Buchner, K. and Rosca, R., Variétes para-coKählerian á champ concirculaire horizontale, C. R. Acad. Sci. Paris 285 (1977), Ser. A, 723-726.
Buchner, K. and Rosca, R., Co-isotropic submanifolds of a para-coKählerian manifold with concicular vector field, J. Geometry, 25 (1985), 164-177.
Cappelletti-Montano, B., Küpeli Erken, I. and Murathan, C., Nullity conditions in paracontact geometry, Diff. Geom. Appl. 30 (2012), 665-693.
Dacko, P., On almost para-cosymplectic manifolds, Tsukuba J. Math. 28 (2004), 193-213. kaneyuki1 : Kaneyuki, S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds, Nagoya Math. J 1985; 99: 173-187.
Küpeli Erken, I., Dacko, P. and Murathan, C., Almost α-paracosymplectic manifolds, J. Geom. Phys., 88 (2015) 30-51. HAKAN : Öztürk, H., Aktan, N. and Murathan, C., Almost α-cosymplectic (κ,μ,ν)-spaces, Submitted. Available in Arxiv:1007.0527 [math. DG].
Öztürk, H., Murathan, C., Aktan, N. and Turgut Vanlı, A., Almost α-cosymplectic f-manifolds, An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 60 no. 1, (2014), 211-226.
Rossca, R. and Vanhecke, L., Súr une variété presque paracokählérienne munie d'une connexion self-orthogonale involutive, Ann. Sti. Univ. "Al. I. Cuza" Ia si 22 (1976), 49-58.
Soos, G., Über die geodätischen Abbildungen von Riemannaschen Räumen auf projektiv symmetrische Riemannsche Räume, Acta. Math. Acad. Sci. Hungar. Tom 9 (1958), 359-361.
Wełyczko, J., On basic curvature identities for almost (para)contact metric manifolds. Available in Arxiv: 1209.4731 [math. DG].
Yano, K., Concircular geometry I, Concircular transformations, Proc. Imp. Acad. Tokyo, 16 (1940), 195-200.
Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, (1984).
Yano, K. and Bochner, S., Curvature and Betti numbers, Annals of mathematics studies, 32, Princeton University Press,1953.
Zamkovoy, S., Canonical connections on paracontact manifolds, Ann. Glob. Anal. Geom. 36 (2009), 37-60.

Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Makaleler
Yazarlar	İrem Küpeli Erken 0000-0003-4471-3291
Yayımlanma Tarihi	1 Şubat 2019
Gönderilme Tarihi	20 Aralık 2017
Kabul Tarihi	28 Haziran 2018
Yayımlandığı Sayı	Yıl 2019 Cilt: 68 Sayı: 1

Kaynak Göster

APA	Küpeli Erken, İ. (2019). On almost α-para-Kenmotsu manifolds satisfyıng certain conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 559-571. https://doi.org/10.31801/cfsuasmas.438369
AMA	Küpeli Erken İ. On almost α-para-Kenmotsu manifolds satisfyıng certain conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2019;68(1):559-571. doi:10.31801/cfsuasmas.438369
Chicago	Küpeli Erken, İrem. “On Almost α-Para-Kenmotsu Manifolds satisfyıng Certain Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 1 (Şubat 2019): 559-71. https://doi.org/10.31801/cfsuasmas.438369.
EndNote	Küpeli Erken İ (01 Şubat 2019) On almost α-para-Kenmotsu manifolds satisfyıng certain conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 559–571.
IEEE	İ. Küpeli Erken, “On almost α-para-Kenmotsu manifolds satisfyıng certain conditions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 1, ss. 559–571, 2019, doi: 10.31801/cfsuasmas.438369.
ISNAD	Küpeli Erken, İrem. “On Almost α-Para-Kenmotsu Manifolds satisfyıng Certain Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (Şubat 2019), 559-571. https://doi.org/10.31801/cfsuasmas.438369.
JAMA	Küpeli Erken İ. On almost α-para-Kenmotsu manifolds satisfyıng certain conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:559–571.
MLA	Küpeli Erken, İrem. “On Almost α-Para-Kenmotsu Manifolds satisfyıng Certain Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 1, 2019, ss. 559-71, doi:10.31801/cfsuasmas.438369.
Vancouver	Küpeli Erken İ. On almost α-para-Kenmotsu manifolds satisfyıng certain conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):559-71.