Results 21 to 30 of about 652,811 (132)
On Non‐Compact Extended Bach Solitons
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley +1 more source
Ricci flow on Kaehler manifolds
In this paper, we announce the following results: Let M be a Kaehler-Einstein manifold with positive scalar curvature. If the initial metric has nonnegative bisectional curvature and positive at least at one point, then the K\"ahler-Ricci flow converges ...
Chen, Xiuxiong, Tian, Gang
core +1 more source
Upper bounds for Ricci curvatures for submanifolds in Bochner-Kaehler manifolds
Chen established the relationship between the Ricci curvature and the squared norm of meancurvature vector for submanifolds of Riemannian space form with arbitrary codimension knownas Chen-Ricci inequality.
M. Lone +4 more
semanticscholar +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Ricci flow on compact Kähler manifolds of positive bisectional curvature [PDF]
This Note announces a new proof of the uniform estimate on the curvature of metric solutions to the Ricci flow on a compact Kahler manifold with positive bisectional curvature.
H. Cao, Binglong Chen, Xiping Zhu
semanticscholar +1 more source
First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1+1 more source
Witten genera of complete intersections
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley +1 more source
On Ricci curvature of submanifolds in statistical manifolds of constant (quasi-constant) curvature
In 1999, B. Y. Chen established a sharp inequality between the Ricci curvature and the squared mean curvature for an arbitrary Riemannian submanifold of a real space form. This inequality was extended in 2015 by M. E. Aydin et al.
A. Siddiqui, M. Shahid, Jae Won Lee
semanticscholar +1 more source
ABSTRACT This study examined the institutional pressures that influence the implementation of a multinational enterprises' (MNEs) environmental, social, and governance (ESG) strategy in emerging markets. It investigated the sustainable performance (i.e., financial, social, and environmental performance) resulting from MNEs' strategic responses to ...
Min‐Jae Lee +3 more
wiley +1 more source
Ricci curvature on warped product submanifolds in spheres with geometric applications
The goal of this paper is to construct a fundamental theorem for the Ricci curvature inequality via partially minimal isometric warped product immersions into a m -dimensional unit sphere S m , involving the Laplacian of a well defined warping function ...
Akram Ali +2 more
semanticscholar +1 more source

