Results 121 to 130 of about 571,031 (268)

Rigidity of Riemannian manifolds with positive scalar curvature [PDF]

open access: yesarXiv, 2017
For the Bach-flat closed manifold with positive scalar curvature, we prove a rigidity result under a given inequality involving the Weyl curvature and the traceless Ricci curvature. Moveover, under an inequality involving $L^{\frac{n}{2}}$-norm of the Weyl curvature, the traceless Ricci curvature and the Yamabe invariant, we also provide a similar ...
arxiv  

Study of the curvature of green pieces in stoneware ceramic tiles

open access: yesBoletín de la Sociedad Española de Cerámica y Vidrio, 2000
Ceramic tiles undergo some deformations on the production line. After pressing, tiles are flat but, in subsequent stages of the production line, surfaces are wetted producing temperature and water gradients across their thickness.
de Pablos, A.   +6 more
doaj  

Some rigidity characterizations on critical metrics for quadratic curvature functionals [PDF]

open access: yesarXiv, 2017
We study closed $n$-dimensional manifolds of which the metrics are critical for quadratic curvature functionals involving the Ricci curvature, the scalar curvature and the Riemannian curvature tensor on the space of Riemannian metrics with unit volume. Under some additional integral conditions, we classify such manifolds. Moreover, under some curvature
arxiv  

Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three [PDF]

open access: yesarXiv, 2019
We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The method is motivated by the integral method of Warren and Yuan. The new observation here is that the "Lagrangian" submanifold constructed similarly as Harvey and Lawson has bounded mean curvature if the graph function of a ...
arxiv  

Curvature and mechanics

open access: yesAdvances in Mathematics, 1975
AbstractClassical or Newtonian Mechanics is put in the setting of Riemannian Geometry as a simple mechanical system (M, K, V), where M is a manifold which represents a configuration space, K and V are the kinetic and potential energies respectively of the system.
openaire   +2 more sources

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