# Isolated singularities of solutions to the Yamabe equation

## Related Articles

- On weakly symmetric Riemannian manifolds. Malek, F.; Samavaki, M. // Differential Geometry--Dynamical Systems;2008, p215
In this paper its proved three theorems about weakly symmetric manifolds. The first one is a sufficiency condition for a (WS)n to be a G(PS)n and a (PS)n. The second one is about the Ricci tensor of a conformally flat (WS)n with non zero scalar curvature, and the last one is about (WS)n with...

- Hypersurfaces with constant mean curvature in a real space form. Shichang Shu; Sanyang Liu // Turkish Journal of Mathematics;2011, Vol. 35 Issue 2, p301
Let Mn be an n (n = 3) -dimensional complete connected and oriented hypersurface in Mn+1 (c)(c = 0) with constant mean curvature H and with two distinct principal curvatures, one of which is simple. We show that (1) if c = 1 and the squared norm of the second fundamental form of Mn satisfies a...

- Separation Problem for Second Order Elliptic Differential Operators on Riemannian Manifolds. Atia, H. A. // Journal of Computational Analysis & Applications;Aug2015, Vol. 19 Issue 2, p229
In this paper we aim to study the separation problem for the second order elliptic differential expression of the form E = Î”M + bi Ã°Â²/ Ã°xiÂ² + q, with the real-valued positive continuous functions bi, on a complete Riemannian manifold (M, g) with metric g, where Î”M is the...

- Counting smooth solutions to the equation A+B=C. Lagarias, J. C.; Soundararajan, K. // Proceedings of the London Mathematical Society;Apr2012, Vol. 104 Issue 4, p770
This paper studies integer solutions to the abc equation A+B=C in which none of A, B, C has a large prime factor. We set H(A, B, C)=max(|A|, |B|, |C|), and consider primitive solutions (g.c.d.(A, B, C)=1) having no prime factor p larger than (log H(A, B, C))Îº, for a given finite Îº. On the...

- On the embedding of space-time in five-dimensional Weyl spaces. Dahia, F.; Gomez, G. A. T.; Romero, C. // Journal of Mathematical Physics;Oct2008, Vol. 49 Issue 10, p102501
We revisit Weyl geometry in the context of recent higher-dimensional theories of space-time. After introducing the Weyl theory in a modern geometrical language we present some results that represent extensions of Riemannian theorems. We consider the theory of local embeddings and submanifolds in...

- Compactness for Yamabe metrics in low dimensions. Druet, Olivier // IMRN: International Mathematics Research Notices;2004, Vol. 2004 Issue 23, p1143
We provide a detailed proof in low dimensions of a well-known result of Schoen: given a smooth compact Riemannian manifold (M,g), the set of metrics conformal to g, with normalized constant scalar curvature, is precompact in the C2-topology.

- On Generalized Ï†-Recurrent Sasakian Manifolds. Shaikh, Absos Ali; Ahmad, Helaluddin // Applied Mathematics;Nov2011, Vol. 2 Issue 11, p1317
The object of the present paper is to introduce the notion of generalized Ï†-recurrent Sasakian manifold and study its various geometric properties with the existence of such notion. Among others we study generalized concircularly Ï†-recurrent Sasakian manifolds. The existence of...

- On the variation of a metric and its application. Wu, Fa // Acta Mathematica Sinica;Oct2010, Vol. 26 Issue 10, p2003
Some of the variation formulas of a metric were derived in the literatures by using the local coordinates system. In this paper, We give the first and the second variation formulas of the Riemannian curvature tensor, Ricci curvature tensor and scalar curvature of a metric by using the moving...

- Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields. Kurnyavko, O.; Shirokov, I. // Theoretical & Mathematical Physics;Aug2008, Vol. 156 Issue 2, p1169
We consider the problem of constructing scalar particle wave equations in Riemannian spaces with external gauge fields whose symmetry group is the group of motions of the Riemannian space.