http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
A NOTE ON STATIC MANIFOLDS AND ALMOST RICCI SOLITONS
Ahmadzadeh, Reihaneh,Ghahremani-Gol, Hajar Korean Mathematical Society 2022 대한수학회논문집 Vol.37 No.2
In this short paper, we investigate the existence of non-trivial almost Ricci solitones on static manifolds. As a result we show any compact nontrivial static manifold is isometric to a Euclidean sphere.
GRADIENT YAMABE SOLITONS WITH CONFORMAL VECTOR FIELD
Fasihi-Ramandi, Ghodratallah,Ghahremani-Gol, Hajar Korean Mathematical Society 2021 대한수학회논문집 Vol.36 No.1
The purpose of this paper is to investigate the geometry of complete gradient Yamabe soliton (Mn, g, f, λ) with constant scalar curvature admitting a non-homothetic conformal vector field V leaving the potential vector field invariant. We show that in such manifolds the potential function f is constant and the scalar curvature of g is determined by its soliton scalar. Considering the locally conformally flat case and conformal vector field V, without constant scalar curvature assumption, we show that g has constant curvature and determines the potential function f explicitly.