Zobrazeno 1 - 10
of 248
pro vyhledávání: '"Shen, Zhongmin"'
Autor:
Shen, Zhongmin, Sun, Liling
In this paper, we study the Berwald-Weyl curvature which is defined for a spray/Finsler metric with a volume form. We obtain some expressions for the Berwald-Weyl curvature. This quantity is a projective invariant with respect to a fixed volume form.
Externí odkaz:
http://arxiv.org/abs/2407.07272
Autor:
LI Linhan, ZHANG Ji, TIAN Chenggang, YANG Shanjie, SHEN Zhongmin, ZHANG Wenyun, ZHANG Beijiang
Publikováno v:
Journal of Aeronautical Materials, Vol 44, Iss 4, Pp 85-95 (2024)
The spot-welding defects of highly alloyed Ni-base superalloy GH4065A were investigated by using SEM and EBSD analysis methods. Effects of the welding defects on fatigue life and fracture behavior were studied by comparing thin plate samples with a c
Externí odkaz:
https://doaj.org/article/d5809d73693544f895517526ea9116b8
Autor:
Shen, Zhongmin, Zhao, Runzhong
The flag curvature is a natural extension of the sectional curvature in Riemannian geometry. However there are many non-Riemannian quantities which interact the flag curvature. In this paper, we introduce a notion of weighted flag curvature by modify
Externí odkaz:
http://arxiv.org/abs/2303.06414
Autor:
Shen, Zhongmin, Zhao, Runzhong
Locally projectively flat metrics (or sprays) form a rich class of metrics (or sprays) in Finsler and spray geometry. The characterization of such metrics is the Hilbert Fourth Problem in the regular case. In this paper we study the Pontrjagin classe
Externí odkaz:
http://arxiv.org/abs/2211.16435
Autor:
Shen, Zhongmin, Zhao, Runzhong
Weighted Ricci curvatures with various weights of the S-curvature have played an important role in Finsler geometry, especially in the control of volumes of Finsler manifolds. In this paper, we study general weighted Ricci curvatures, and characteriz
Externí odkaz:
http://arxiv.org/abs/2201.03991
Autor:
Cheng, Xinyue, Shen, Zhongmin
We establish some important inequalities under a lower weighted Ricci curvature bound on Finsler manifolds. Firstly, we establish a relative volume comparison of Bishop-Gromov type. As one of the applications, we obtain an upper bound for volumes of
Externí odkaz:
http://arxiv.org/abs/2107.07082
Autor:
Marcal, Patricia, Shen, Zhongmin
In this work, we consider a class of Finsler metrics using the warped product notion introduced by Chen, S. and Zhao (2018), with another "warping", one that is consistent with static spacetimes. We will give the PDE characterization for the proposed
Externí odkaz:
http://arxiv.org/abs/2012.05699
Autor:
Shen, Zhongmin
Every Riemannian metric or Finsler metric on a manifold induces a spray via its geodesics. In this paper, we discuss several expressions for the X-curvature of a spray. We show that the sprays obtained by a projective deformation using the S-curvatur
Externí odkaz:
http://arxiv.org/abs/2008.07732