Results 51 to 60 of about 79,734 (334)

Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space [PDF]

open access: yesMethods and Applications of Analysis, 2009
We prove existence in the Minkowski space of entire spacelike hypersurfaces with constant negative scalar curvature and given set of lightlike directions at infinity; we also construct the entire scalar curvature flow with prescribed set of lightlike directions at infinity, and prove that the flow converges to a spacelike hypersurface with constant ...
openaire   +3 more sources

Construction of constant scalar curvature Kähler cone metrics [PDF]

open access: yes, 2017
Over a compact Kähler manifold, we provide a Fredholm alternative result for the Lichnerowicz operator associated to a Kähler metric with conic singularities along a divisor. We deduce several existence results of constant scalar curvature Kähler metrics
Julien Keller, Kai Zheng
semanticscholar   +1 more source

On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In mathematical physics, the stable hypersurfaces of constant mean curvature in pseudo-Euclidian spheres have been interested by many researchers on general relativity.
Behzad Esmaeili   +2 more
doaj   +1 more source

Bifurcation for the Constant Scalar Curvature Equation and Harmonic Riemannian Submersions [PDF]

open access: yesJournal of Geometric Analysis, 2016
We study bifurcation for the constant scalar curvature equation along a one-parameter family of Riemannian metrics on the total space of a harmonic Riemannian submersion.
Nobuhiko Otoba, J. Petean
semanticscholar   +1 more source

Ruled Manifolds with Constant Hermitian Scalar Curvature [PDF]

open access: yesMathematical Research Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS

open access: yes, 2011
We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
core   +1 more source

The local moduli of Sasakian 3-manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
The Newman-Penrose-Perjes formalism is applied to Sasakian 3-manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given ...
Brendan S. Guilfoyle
doaj   +1 more source

Construction of Kähler surfaces with constant scalar curvature

open access: yesJournal of the European Mathematical Society, 2009
We present new constructions of Kähler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. Some higher-dimensional examples are provided as well.
Rollin, Yann, Singer, Michael
openaire   +3 more sources

Rigidity and Conformal Characterizations of Noncompact Gradient Schouten Solitons

open access: yesMathematics
This paper studies the conformal geometry of complete gradient Schouten solitons (GSSs) admitting closed conformal vector fields (CVFs). We establish rigidity and characterization results for nonparallel, homothetic closed CVFs under the assumption that ...
Ali H. Alkhaldi   +3 more
doaj   +1 more source

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