In this paper, we study $(k,\mu)$-contact metric manifold under $D_a$-homothetic deformation. It is proved that a $D_3$-homothetic deformed locally symmetric $(1, -4)$-contact metric manifold is a Sasakian manifold and the Ricci soliton is shrinking. Further, $\xi^*$-projectively flat and $h$-projectively semisymmetric $(k, \mu)$-contact metric manifolds under $D_a$-homothetic deformation are studied and obtained interesting results.
$D_{a}$-homothetic deformation Ricci solitons projective curvature tensor $D_{a}$-homothetic deformation Ricci solitons projective curvature tensor
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2019 |
Gönderilme Tarihi | 7 Ağustos 2018 |
Kabul Tarihi | 6 Aralık 2018 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 7 Sayı: 1 |