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pro vyhledávání: '"Zhu, Anqiang"'
We are concerned in this article with a classical topic in spectral geometry dating back to McKean-Singer, Patodi and Tanno: whether or not the constancy of sectional curvature (resp. holomorphic sectional curvature) of a compact Riemannian manifold
Externí odkaz:
http://arxiv.org/abs/2312.07259
Publikováno v:
In Engineering Fracture Mechanics 22 August 2024 307
Autor:
Cheng, Liang, Zhu, Anqiang
In this paper we prove that there is no $\kappa$-solution of Ricci flow on 3-dimensional noncompact manifold with strictly positive sectional curvature and blow up at some finite time $T$ satisfying $\int^T_0 \sqrt{T-t} R(p_0,t)dt< \infty$ for some p
Externí odkaz:
http://arxiv.org/abs/1810.08934
Autor:
Liang, Qiantong, Zhu, Anqiang
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 June 2021 498(2)
Autor:
Ma, Li, Zhu, Anqiang
In this note, we answer affirmatively the question if a warped product of a compact manifold with a line as an ancient solution to the Ricci flow is trivial. We also consider the global behavior of the Type III warping product Ricci flow.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1509.08330
Autor:
Ma, Li, Zhu, Anqiang
In this paper, we study the question if there is an isometric immersion of the cigar soliton into $R^3$. We show that the answer is negative. Similar result in higher dimensions is also true for steady Bryant solitons.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1506.00764
Autor:
Cheng, Liang, Zhu, Anqiang
In this paper, we study the Ricci flat manifolds with maximal volume growth using Perelman's reduced volume of Ricci flow. We show that if $(M^n,g)$ is an noncompact complete Ricci flat manifold with maximal volume growth satisfying $|Rm|(x)\to 0$ as
Externí odkaz:
http://arxiv.org/abs/1111.4013
Autor:
Ma, Li, Zhu, Anqiang
In this paper, we study the injectivity radius bound for 3-d Ricci flow. As applications we show the long time existence of the Ricci flow with positive Ricci curvature. We also partially settle a question in page 302 of the book of Chow-Lu-Ni (2006)
Externí odkaz:
http://arxiv.org/abs/1110.1001
Autor:
Cheng, Liang, Zhu, Anqiang
In this paper, we investigate the behavior of ADM mass and Einstein-Hilbert functional under the Yamabe flow. Through studying the Yamabe flow by weighted spaces, we show that ADM mass and Einstein-Hilbert functional are well-defined and monotone non
Externí odkaz:
http://arxiv.org/abs/1109.2443