Results 81 to 85 of about 204 (85)

New Developments on the p-Willmore Energy of Surfaces

, 2020
The p-Willmore energy W, which extends the venerable Willmore energy by accommodating different powers of the mean curvature in its integrand, is a relevant geometric functional that bears both similarities and differences to its namesake.
E. Aulisa, A. Gruber, M D Toda, Hung Tran   +3 more
semanticscholar   +1 more source

Analysis, Geometry and Topology of Positive Scalar Curvature Metrics

Oberwolfach Reports, 2018
Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using methods from partial differential
B. Ammann, B. Hanke, A. Neves
semanticscholar   +1 more source

On Special Weakly Ricci-Symmetric Kenmotsu Manifolds

Sarajevo Journal of Mathematics
In this paper, we have studied special weakly Ricci symmetric Kenmotsu manifolds. We show that if a special weakly Riccisymmetric Kenmotsu manifold admits a cyclic parallel Ricci tensor then the associate 1–form $\alpha$ must be zero.
N. Aktan, Ali Gorgülü, Erdal Özüsağlam   +2 more
semanticscholar   +1 more source

Asymptotic Flatness of the Weil-Petersson Metric on Teichmüller Space

, 2003
In this paper, we show that there is no negative upper bound for the sectional curvature of Teichmuller space of Riemann surfaces with the Weil–Petersson metric. Mathematics Subject Classifications (2000). 32G15, 53C21, 30F60.
Zheng Huang
semanticscholar   +1 more source

Generalizing Liouville-type problems for differential 1-forms from L^q spaces to non-L^q spaces

, 2016
Lina Wu, Ye Li
semanticscholar   +1 more source