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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 1,289 - 1,301 (13page)
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In the present paper, we prove that if there exists a second order parallel tensor on an almost Kenmotsu manifold with generalized $(k,\mu)'$-nullity distribution and $h' \neq 0$, then either the manifold is isometric to $H^{n+1}(-4)\times\mathbb{R}^{n}$, or, the second order parallel tensor is a constant multiple of the associated metric tensor of $M^{2n+1}$ under certain restriction on $k, \mu$. Besides this, we study Ricci soliton on an almost Kenmotsu manifold with generalized $(k,\mu)'$-nullity distribution. Finally, we characterize such a manifold admitting generalized Ricci soliton.
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참고문헌 (36)
참고문헌 신청
CORNELIA LIVIA BEJAN / 2011 / Ricci solitons in manifolds with quasi-constant curvature / Publicationes Mathematicae Debrecen 78(1):235~243
A.M. Blaga / 2018 / On gradient η-Einstein solitons / Kragujevac Journal of Mathematics 42(2):229~237
D. E. Blair / 1976 / Contact manifolds in Riemannian geometry / Springer-Verlag
D. E. Blair / 2010 / Riemannian Geometry of Contact and Symplectic Manifolds / Birkhauser Boston, Inc :1007
David E. Blair / 1995 / Contact metric manifolds satisfying a nullity condition / Israel Journal of Mathematics 91(1-3):189~214
A.M. Blaga / 2018 / On gradient η-Einstein solitons / Kragujevac Journal of Mathematics 42(2):229~237
D. E. Blair / 1976 / Contact manifolds in Riemannian geometry / Springer-Verlag
D. E. Blair / 2010 / Riemannian Geometry of Contact and Symplectic Manifolds / Birkhauser Boston, Inc :1007
David E. Blair / 1995 / Contact metric manifolds satisfying a nullity condition / Israel Journal of Mathematics 91(1-3):189~214
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