1. View of Gradient almost Para-Ricci-like Solitons on Para ...
... its Ricci tensorρhas the form [1]ρ=−12Lvg−λg,whereLdenotes the Lie derivative,vis a vector field andλis a constant. Afterits introduction a detailed study ...
2. A theorem of Yu. A. Aminov - Penn State Research Database
We give a simple proof of a somewhat stronger theorem of Yu. A. Aminov concerning a lower estimate of the diameter of a surface immersed in R, this estimate ...
We give a simple proof of a somewhat stronger theorem of Yu. A. Aminov concerning a lower estimate of the diameter of a surface immersed in R, this estimate being a function of the mean curvature of the surface and of its Ricci curvature.
3. [1903.02245] Nurowski's conformal class of a maximally symmetric (2,3,5)
6 mrt 2019 · Title:Nurowski's conformal class of a maximally symmetric (2,3,5)-distribution and its Ricci-flat representatives. Authors:Matthew Randall.
We show that the solutions to the second-order differential equation associated to the generalised Chazy equation with parameters $k=2$ and $k=3$ naturally show up in the conformal rescaling that takes a representative metric in Nurowski's conformal class associated to a maximally symmetric $(2,3,5)$-distribution (described locally by a certain function $φ(x,q)=\frac{q^2}{H''(x)}$) to a Ricci-flat one.
4. Nurowski's Conformal Class of a Maximally Symmetric (2,3,5)
10 dec 2020 · Nurowski's Conformal Class of a Maximally Symmetric (2,3,5)-Distribution and its Ricci-flat Representatives. Authors. Matthew Randall.
We show that the solutions to the second-order differential equation associated to the generalised Chazy equation with parameters k = 2 and k = 3 naturally show up in the conformal rescaling that takes a representative metric in Nurowski’s conformal class associated to a maximally symmetric (2,3,5)-distribution (described locally by a certain function...
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5. [1707.08006] A partial converse to the Andreotti-Grauert theorem - arXiv
25 jul 2017 · ... its Ricci curvature \mathrm{Ric}(\omega) has at least one positive eigenvalue everywhere. Subjects: Algebraic Geometry (math.AG); Complex ...
Let $X$ be a smooth projective manifold with $\dim_\mathbb{C} X=n$. We show that if a line bundle $L$ is $(n-1)$-ample, then it is $(n-1)$-positive. This is a partial converse to the Andreotti-Grauert theorem. As an application, we show that a projective manifold $X$ is uniruled if and only if there exists a Hermitian metric $ω$ on $X$ such that its Ricci curvature $\mathrm{Ric}(ω)$ has at least one positive eigenvalue everywhere.
6. View of The Conjugate Linearized Ricci Flow on Closed 3-Manifolds
We also provide an integral representation of the Ricci flow metricitself and of its Ricci tensor in terms of the heat kernel of the conjugate linearized ...
7. [PDF] On pseudo cyclic Ricci symmetric manifolds admitting semi-symmetric ...
Introduction. A Riemannian manifold is Ricci symmetric if its Ricci tensor S of type (0, 2) satisfies ∇S = 0, where ∇ denotes the Riemannian connection.
8. (PDF) Nurowski's Conformal Class of a Maximally Symmetric (2,3,5)
Solving the CRC equations, it is shown that the Kantowski–Sachs metric admits 15-dimensional Lie algebra of CRCs when its Ricci tensor is non-degenerate and an ...
Nurowski’s Conformal Class of a Maximally Symmetric (2,3,5)-Distribution and its Ricci-flat Representatives
