scholarly journals Gradient Kähler–Ricci Solitons with Nonnegative Orthogonal Bisectional Curvature

2019 ◽  
Vol 74 (4) ◽  
Author(s):  
Shijin Zhang
Keyword(s):  
Ricci Solitons ◽  
Bisectional Curvature

* - Ricci solitons on ε-para sasakian 3-manifolds

2020 ◽  
Vol 61(12) (2) ◽  
pp. 265-274
Author(s):  
Krishnendu De ◽  
◽  
Chiranjib Dey ◽  
Keyword(s):  
Ricci Solitons

scholarly journals Ricci solitons on singly warped product manifolds and applications

2021 ◽  
Vol 166 ◽  
pp. 104257
Author(s):  
Uday Chand De ◽  
Carlo Alberto Mantica ◽  
Sameh Shenawy ◽  
Bülent Ünal
Keyword(s):  
Warped Product ◽  
Ricci Solitons

Bounded properties of curvatures of perturbed Ricci metric on curve moduli

2014 ◽  
Vol 25 (12) ◽  
pp. 1450113
Author(s):  
Xiaorui Zhu
Keyword(s):  
Finite Volume ◽  
Ricci Curvature ◽  
Moduli Space ◽  
Point Of View ◽  
Bisectional Curvature ◽  
Bounded Geometry ◽  
Holomorphic Bisectional Curvature ◽  
Chern Form ◽  
Thick Part ◽  
Kahler Metric

As is well-known, the Weil–Petersson metric ωWP on the moduli space ℳg has negative Ricci curvature. Hence, its negative first Chern form defines the so-called Ricci metric ωτ. Their combination [Formula: see text], C > 0, introduced by Liu–Sun–Yau, is called the perturbed Ricci metric. It is a complete Kähler metric with finite volume. Furthermore, it has bounded geometry. In this paper, we investigate the finiteness of this new metric from another point of view. More precisely, we will prove in the thick part of ℳg, the holomorphic bisectional curvature of [Formula: see text] is bounded by a constant depending only on the thick constant and C0 when C ≥ (3g - 3)C0, but not on the genus g.

scholarly journals Three-dimensional Lorentzian homogeneous Ricci solitons

2011 ◽  
Vol 188 (1) ◽  
pp. 385-403 ◽  
Author(s):  
M. Brozos-Vázquez ◽  
G. Calvaruso ◽  
E. García-Río ◽  
S. Gavino-Fernández
Keyword(s):  
Three Dimensional ◽  
Ricci Solitons

Geometry of Ricci Solitons*

2006 ◽  
Vol 27 (2) ◽  
pp. 121-142 ◽  
Author(s):  
Huai-Dong Cao
Keyword(s):  
Ricci Solitons
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