Zobrazeno 1 - 10
of 87
pro vyhledávání: '"53C20, 53C25"'
Autor:
Narita, Kazumasa
Given a Riemannian submersion $(M,g) \to (B,j)$ each of whose fibers is connected and totally geodesic, we consider a certain 1-parameter family of Riemannian metrics $(g_{t})_{t > 0}$ on $M$, which is called the canonical variation. Let $\lambda_{1}
Externí odkaz:
http://arxiv.org/abs/2411.17078
Autor:
Nikonorov, Yu. G.
The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which
Externí odkaz:
http://arxiv.org/abs/2402.17548
Autor:
Zhao, Ziyi, Zhu, Xiaohua
Let $(M^n,g)$ $(n\ge 4)$ be a complete noncompact $\kappa$-noncollapsed steady Ricci soliton with $\rm{Rm}\geq 0$ and $\rm{Ric}> 0$ away from a compact set $K$ of $M$. We prove that there is no any $(n-1)$-dimensional compact split limit Ricci flow o
Externí odkaz:
http://arxiv.org/abs/2402.00316
Autor:
Zhao, Ziyi, Zhu, Xiaohua
In the paper, we analysis the asymptotic behavior of noncompact $\kappa$-noncollapsed steady gradient Ricci soliton $(M, g)$ with nonnegative curvature operator away from a compact set $K$ of $M$. In particular, we prove: any $4d$ noncompact $\kappa$
Externí odkaz:
http://arxiv.org/abs/2310.12529
In this paper we introduce the notion of quasi-isometry between two almost contact metric manifolds of same dimension. We also impose this idea to study quasi-isometry between $N(k)-$ contact metric manifolds and Sasakian manifolds. Moving further, w
Externí odkaz:
http://arxiv.org/abs/2309.15429
The investigation of Ricci solitons is the focus of this work. We have proved triviality results for compact gradient Ricci soliton under certain restriction. Later, a rigidity result is derived for a compact gradient shrinking Ricci soliton. Also, w
Externí odkaz:
http://arxiv.org/abs/2308.00424
Autor:
Jäckel, Frieder
Recently, Ursula Hamenst\"adt and the author proved a stability result for finite volume hyperbolic metrics in dimension three that does not assume any upper volume bounds, but that requires an exponentially fine control of the metric in the thin par
Externí odkaz:
http://arxiv.org/abs/2306.07722
Autor:
Zhao, Ziyi, Zhu, Xiaohua
We introduce a new curvature-pinching condition, which is weaker than the positive sectional curvature or PIC1, and then we prove several rigidity results for the rotationally symmetric solutions of steady Ricci solitons, i.e., the Bryant Ricci solit
Externí odkaz:
http://arxiv.org/abs/2212.02889
Autor:
Sung, Chanyoung
A smooth closed manifold $M$ is called almost Ricci-flat if $$\inf_g||\textrm{Ric}_g||_\infty\cdot \textrm{diam}_g(M)^2=0$$ where $\textrm{Ric}_g$ and $\textrm{diam}_g$ denote the Ricci tensor and the diameter of $g$ respectively and $g$ runs over al
Externí odkaz:
http://arxiv.org/abs/2210.16448
Autor:
Hamenstädt, Ursula, Jäckel, Frieder
Extending earlier work of Tian, we show that if a manifold admits a metric that is almost hyperbolic in a suitable sense, then there exists an Einstein metric that is close to the given metric in the $C^{2,\alpha}$-topology. In dimension $3$ the orig
Externí odkaz:
http://arxiv.org/abs/2206.10438