ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS

Ahmet Yıldız; Bilal Eftal Acet

Araştırma Makalesi

ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS

Yıl 2009, Sayı: 019, 41 - 46, 15.08.2009

Öz

In this study,
we consider weakly symmetric and weakly Ricci-symmetric (k, μ)-contact metric manifolds. We find necessary
conditions in order that a (k, μ)-contact
metric manifold be weakly symmetric and weakly Ricci symmetric.

Anahtar Kelimeler

Weakly symmetric , weakly Ricci-symmetric , (k , μ)-contact metric manifolds

Kaynakça

[1] Arslan K., Murathan C., Özgür C.and Yıldız A., “Pseudosymmetric contact metric manifolds in the sense of M.C.Chaki”, Proc.Estonian Acad. Sci. Phys. Math., 50, 1-9 (2001).
[2] Blair D.E., “Contact manifolds in Riemannian geometry”, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p, (1976).
[3] Blair D.E., Koufogiorgos T., Papantoniou B.J., “Contact metric manifolds satisfying a nullity condition”, Israel Journal of Math., 91, 189-214 (1995).
[4] Chaki M.C., “On pseudosymmetric manifolds”, An. Stiint. Univ. "A1. I. Cuza" Iasi Sect. I. a Mat., 33, 53-58 (1987).
[5] Chaki M.C., “On pseudo Ricci-symmetric manifolds”, Bulgar J. Phys., 15, 526-531 (1988).
[6] De U. C. and Bandyopadhyay S., “On weakly symmetric spaces”, Publ. Math. Debrecen, 54, 377-381 (1999).
[7] De U. C., Binh T. Q., and Shaikh A. A., “On weakly symmetric and weakly Ricci-symmetric K-contact manifolds”, Acta Mathematica Academiae Paedagogicae Nyıreghaziensis, 16, 65-71 (2000).
[8] Sato I., “On a structure similar to almost contact structure”, Tensor N. S., 30, 219-224 (1976).
[9] Sato I., “On a structure similar to almost contact structure II”, Tensor N. S., 31, 199-205 (1977).
[10] Tamassy L. and Binh T. Q., “On weakly symmetric and weakly projective symmetric Riemannian manifolds”, Coll. Math. Soc. J. Bolyai, 56, 663-670 (1992).
[11] Tamassy L. and Binh T. Q., “On weak symmetries of Einstein and Sasakian manifolds”, Tensor N. S., 53, 140-148 (1993).

(k, μ)–DEĞME METRİK MANİFOLDLARIN ZAYIF SİMETRİLERİ ÜZERİNE

Yıl 2009, Sayı: 019, 41 - 46, 15.08.2009

Ahmet Yıldız Bilal Eftal Acet

Öz

Bu
çalışmada, zayıf simetrik ve zayıf Ricci-simetrik (k, μ)-değme metrik manifoldları göz önüne aldık. (k, μ)-değme metrik manifoldların zayıf
simetrik ve zayıf Ricci-simetrik olması için gerekli şartları bulduk.

Anahtar Kelimeler

Zayıf simetrik , zayıf Ricci-simetrik , (k , μ)-değme metrik manifoldlar

Kaynakça

[1] Arslan K., Murathan C., Özgür C.and Yıldız A., “Pseudosymmetric contact metric manifolds in the sense of M.C.Chaki”, Proc.Estonian Acad. Sci. Phys. Math., 50, 1-9 (2001).
[2] Blair D.E., “Contact manifolds in Riemannian geometry”, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p, (1976).
[3] Blair D.E., Koufogiorgos T., Papantoniou B.J., “Contact metric manifolds satisfying a nullity condition”, Israel Journal of Math., 91, 189-214 (1995).
[4] Chaki M.C., “On pseudosymmetric manifolds”, An. Stiint. Univ. "A1. I. Cuza" Iasi Sect. I. a Mat., 33, 53-58 (1987).
[5] Chaki M.C., “On pseudo Ricci-symmetric manifolds”, Bulgar J. Phys., 15, 526-531 (1988).
[6] De U. C. and Bandyopadhyay S., “On weakly symmetric spaces”, Publ. Math. Debrecen, 54, 377-381 (1999).
[7] De U. C., Binh T. Q., and Shaikh A. A., “On weakly symmetric and weakly Ricci-symmetric K-contact manifolds”, Acta Mathematica Academiae Paedagogicae Nyıreghaziensis, 16, 65-71 (2000).
[8] Sato I., “On a structure similar to almost contact structure”, Tensor N. S., 30, 219-224 (1976).
[9] Sato I., “On a structure similar to almost contact structure II”, Tensor N. S., 31, 199-205 (1977).
[10] Tamassy L. and Binh T. Q., “On weakly symmetric and weakly projective symmetric Riemannian manifolds”, Coll. Math. Soc. J. Bolyai, 56, 663-670 (1992).
[11] Tamassy L. and Binh T. Q., “On weak symmetries of Einstein and Sasakian manifolds”, Tensor N. S., 53, 140-148 (1993).

Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Mühendislik
Bölüm	Araştırma Makalesi
Yazarlar	Ahmet Yıldız Bu kişi benim Bilal Eftal Acet Bu kişi benim
Yayımlanma Tarihi	15 Ağustos 2009
Yayımlandığı Sayı	Yıl 2009 Sayı: 019

Kaynak Göster

APA	Yıldız, A., & Acet, B. E. (2009). ON WEAK SYMMETRIES OF (k, μ)– CONTACT METRIC MANIFOLDS. Journal of Science and Technology of Dumlupınar University(019), 41-46.