Finsler warped product metrics of Douglas type

H Liu, X Mo - Canadian Mathematical Bulletin, 2019 - cambridge.org
In this paper, we study the warped structures of Finsler metrics. We obtain the differential
equation that characterizes Finsler warped product metrics with vanishing Douglas …

[PDF][PDF] On doubly twisted product of complex Finsler manifolds

W Xiao, Y He, X Lu, X Deng - Journal of Mathematical Study, 2022 - doc.global-sci.org
Let (M1, F1) and (M2, F2) be two strongly pseudoconvex complex Finsler manifolds. The
doubly twisted product (abbreviated as DTP) complex Finsler manifold (M1×(λ1, λ2) M2, F) is …

Complex Einstein-Finsler doubly twisted product metrics

W Xiao, Y He, C Tian, J Li - Journal of Mathematical Analysis and …, 2022 - Elsevier
Let F be a doubly twisted product metric of two strongly pseudoconvex complex Finsler
metrics F 1 and F 2. In this paper, we obtain a necessary and sufficient condition that F to be …

Finsler warped product metrics with special Riemannian curvature properties

H Liu, X Mo, H Zhang - Science China Mathematics, 2020 - Springer
One of the fundamental problems in Finsler geometry is to study Finsler metrics of constant
(or scalar) curvature. In this paper, we refine and improve Chen-Shen-Zhao equations …

Ricci-flat Finsler metrics by warped product

P Marçal, Z Shen - Proceedings of the American Mathematical Society, 2023 - ams.org
In this work, we consider a class of Finsler metrics using the warped product notion
introduced by Chen et al.[Internat. J. Math. 29 (2018), 1850081], with another “warping”, one …

Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds

S Li, Y He, W Lu, R Yang - Mathematics, 2024 - mdpi.com
Let (M 1, g) and (M 2, h) be two Hermitian manifolds. The twisted product Hermitian manifold
(M 1× M 2 f, G) is the product manifold M 1× M 2 endowed with the Hermitian metric G= g+ f …

Ricci curvature bounds for warped products

C Ketterer - Journal of Functional Analysis, 2013 - Elsevier
We prove generalized lower Ricci curvature bounds for warped products over complete
Finsler manifolds. On the one hand our result covers a theorem of Bacher and Sturm …

On a class of Finsler metrics of quadratic Weyl curvature

M Gabrani, ES Sevim, Z Shen - 2023 - projecteuclid.org
The class of warped product manifolds plays an important role in differential geometry and
physics. In this paper, we shall study product manifolds R*M with Finsler metrics arising from …

Locally Conformally Flat Doubly Twisted Product Complex Finsler Manifolds

W Xiao, Y He, S Li, Q Ni - Journal of Mathematics, 2022 - Wiley Online Library
Let M 1× λ 1, λ 2 M 2, F be a doubly twisted product manifold of two strongly pseudoconvex
complex Finsler manifolds (M1, F1) and (M2, F2). In this study, we give a characterization of …

[HTML][HTML] On the curvature of warped product Finsler spaces and the Laplacian of the Sasaki–Finsler metrics

AB Hushmandi, MM Rezaii - Journal of Geometry and Physics, 2012 - Elsevier
As an opening, we prove that a warped product Finsler space F= F1× fF2 is of constant
curvature c if and only if the base space F1 is also of constant curvature c, the fiber space F2 …