Scalar curvature and projective compactness
نویسندگان
چکیده
منابع مشابه
Scalar curvature and projective embeddings, II
This is a sequel to the previous paper [6], which studied connections between the differential geometry of complex projective varieties and certain specific “balanced” embeddings in projective space. The original plan was that this sequel would be a lengthy paper, discussing various extensions and ramifications of the ideas sudied in [6]. However this plan has been modified in the light of subs...
متن کاملSome Compactness Results Related to Scalar Curvature Deformation
Motivated by the prescribing scalar curvature problem, we study the equation ∆gu+Ku p = 0 (1 + ζ ≤ p ≤ n+2 n−2 ) on locally conformally flat manifolds (M, g) with R(g) = 0. We prove that when K satisfies certain conditions and the dimension of M is 3 or 4, any solution u of this equation with bounded energy has uniform upper and lower bounds. Similar techniques can also be applied to prove that...
متن کاملFinsler metrics of scalar flag curvature and projective invariants
In this paper, we define a new projective invariant and call it W̃ -curvature. We prove that a Finsler manifold with dimension n ≥ 3 is of constant flag curvature if and only if its W̃ -curvature vanishes. Various kinds of projectively flatness of Finsler metrics and their equivalency on Riemannian metrics are also studied. M.S.C. 2010: 53B40, 53C60.
متن کاملPrescribing Scalar Curvature on Sn and Related Problems , Part 11 : Existence and Compactness YANYAN
This is a sequel to [30], which studies the prescribing scalar curvature problem on S". First we present some existence and compactness results for n = 4. The existence result extends that of Bahri and Coron [4], Benayed, Chen, Chtioui, and Hammami [6], and Zhang [39]. The compactness results are new and optimal. In addition, we give a counting formula of all solutions. This counting formula, t...
متن کاملProjective curvature and integral invariants
In this paper, an extension of all Lie group actions on R to coordinates defined by potentials is given. This provides a new solution to the equivalence problems of curves under the projective group and two of its subgroups. The potentials correspond to integrals of higher and higher order producing an infinite number of independent integral invariants. Applications to computer vision are discu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2015
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2015.08.025