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pro vyhledávání: '"Shouwen Fang"'
Autor:
Shouwen Fang, Tao Zheng
Publikováno v:
Mathematics, Vol 11, Iss 22, p 4659 (2023)
We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ric
Externí odkaz:
https://doaj.org/article/821ee398032e443a87758d87406581b5
Publikováno v:
Pure and Applied Mathematics Quarterly. 17:385-400
Autor:
Shouwen Fang, Liang Zhao
Publikováno v:
Pacific Journal of Mathematics. 306:755-765
Publikováno v:
Pacific Journal of Mathematics. 301:371-384
Publikováno v:
Differential Geometry and its Applications. 56:202-210
We show that a complete noncompact minimal hypersurface M in S n + 1 ( n ≥ 3 ) admits no nontrivial L 2 harmonic 2-form if the total curvature is bounded above by a constant depending only on the dimension of M. It implies that the second space of
Autor:
Yawei Chu, Shouwen Fang
Publikováno v:
Archiv der Mathematik. 109:179-189
The aim of this paper is to show some rigidity results for complete Riemannian manifolds with parallel Cotton tensor. In particular, we prove that any compact manifold of dimension $$n\ge 3$$ with parallel Cotton tensor and positive constant scalar c
Publikováno v:
Glasgow Mathematical Journal. 59:743-751
Let (M, g(t)) be a compact Riemannian manifold and the metric g(t) evolve by the Ricci flow. In the paper, we prove that the eigenvalues of geometric operator −Δφ + $\frac{R}{2}$ are non-decreasing under the Ricci flow for manifold M with some cu
Autor:
Liang Zhao, Shouwen Fang
Publikováno v:
Pacific Journal of Mathematics. 285:243-256
We study gradient estimates for positive solutions to the nonlinear parabolic equation @u @t DAuCcu under general geometric flow on complete noncompact manifolds, where ; c are two real constants and > 0. As an application, we give the corresponding
Autor:
Fei Yang, Shouwen Fang
Publikováno v:
Bulletin of the Korean Mathematical Society. 53:1113-1122
Publikováno v:
Communications in Mathematics and Statistics. 4:217-228
In the paper we first derive the evolution equation for eigenvalues of geometric operator \(-\Delta _{\phi }+cR\) under the Ricci flow and the normalized Ricci flow on a closed Riemannian manifold M, where \(\Delta _{\phi }\) is the Witten–Laplacia