Conformal change of the metric on almost anti-Hermitian manifolds
Conformal complete metrics with prescribed non-negative Gaussian curvature in R2.
Conformal connections on Lyra manifolds.
Conformal curvature for the normal bundle of a conformal foliation
It is proved that the normal bundle of a distribution on a riemannian manifold admits a conformal curvature if and only if is a conformal foliation. Then is conformally flat if and only if vanishes. Also, the Pontrjagin classes of can be expressed in terms of .
Conformal de Rham Hodge theory and operators generalising the -curvature
Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces
In this paper we investigate one-dimensional sectional curvatures of Riemannian manifolds, conformal deformations of the Riemannian metrics and the structure of locally conformally homogeneous Riemannian manifolds. We prove that the nonnegativity of the one-dimensional sectional curvature of a homogeneous Riemannian space attracts nonnegativity of the Ricci curvature and we show that the inverse is incorrect with the help of the theorems O. Kowalski-S. Nikčevi'c [K-N], D. Alekseevsky-B. Kimelfeld...
Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.
Conformal Duality and Compact Complex Surfaces.
Conformal field theory
Conformal Fields and Stability.
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds
Conformal geometry and spatially homogeneous cosmology
Conformal gradient vector fields on a compact Riemannian manifold
It is proved that if an n-dimensional compact connected Riemannian manifold (M,g) with Ricci curvature Ric satisfying 0 < Ric ≤ (n-1)(2-nc/λ₁)c for a constant c admits a nonzero conformal gradient vector field, then it is isometric to Sⁿ(c), where λ₁ is the first nonzero eigenvalue of the Laplacian operator on M. Also, it is observed that existence of a nonzero conformal gradient vector field on an n-dimensional compact connected Einstein manifold forces it to...
Conformal harmonic forms, Branson–Gover operators and Dirichlet problem at infinity
For odd-dimensional Poincaré–Einstein manifolds , we study the set of harmonic -forms (for ) which are (with ) on the conformal compactification of . This set is infinite-dimensional for small but it becomes finite-dimensional if is large enough, and in one-to-one correspondence with the direct sum of the relative cohomology and the kernel of the Branson–Gover [3] differential operators on the conformal infinity . We also relate the set of forms in the kernel of to the conformal...
Conformal ℱ-harmonic maps for Finsler manifolds
By introducing the ℱ-stress energy tensor of maps from an n-dimensional Finsler manifold to a Finsler manifold and assuming that (n-2)ℱ(t)'- 2tℱ(t)'' ≠ 0 for any t ∈ [0,∞), we prove that any conformal strongly ℱ-harmonic map must be homothetic. This assertion generalizes the results by He and Shen for harmonics map and by Ara for the Riemannian case.
Conformal Imbeddings of the Complex Projective Plane and Self-Dual Connections.
Conformal indices of riemannian manifolds
Conformal Infinitesimal Transformations Of Almost Paracontact Metric Structures
Conformal invariant wave equations for spin zero and spin fields on de Sitter space
Conformal Jacobi operators of hypersurfaces in the de Sitter space.