Results 71 to 80 of about 14,803 (150)

On the quaternionic sectional curvature of an indefinite quaternionic Kahler manifold [PDF]

, 1995
The quaternionic sectional curvature of an indefinite quaternimic Kahler manifold is investigated in [6], where it is shown that its treatment presents certain analogies with that of the holomorphic sectional curvature of an indefinite Kahler manifold [1]
Garcia-Rio Eduardo, Vazquez-Abal Elena M.   +1 more
core  

Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley   +1 more source

On the zero set of holomorphic sectional curvature

, 2023
A notable example due to Heier, Lu, Wong, and Zheng shows that there exist compact complex Kähler manifolds with ample canonical line bundle such that the holomorphic sectional curvature is negative semi-definite and vanishes along high-dimensional linear subspaces in every tangent space.
Chen, Yongchang, Heier, Gordon
openaire   +2 more sources

One‐level densities in families of Grössencharakters associated to CM elliptic curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

First Robin Eigenvalue of the Laplacian on Kähler and Quaternionic Kähler Manifolds

Mathematics
We investigate the first Robin eigenvalue of the Laplacian on Kähler and quaternionic Kähler manifolds. First, we establish Cheng-type eigenvalue comparison theorems for Kähler manifolds under lower bounds on holomorphic sectional curvature and ...
Shaoheng Zhang, Weijie Zhu
doaj   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

On projectivized vector bundles and positive holomorphic sectional curvature

, 2016
We generalize a construction of Hitchin to prove that, given any compact K\"ahler manifold $M$ with positive holomorphic sectional curvature and any holomorphic vector bundle $E$ over $M$, the projectivized vector bundle ${\mathbb P}(E)$ admits a K ...
Alvarez, Angelynn, Heier, Gordon, Zheng, Fangyang   +2 more
core  

Spherical Path Regression Through Universal Differential Equations With Applications to Paleomagnetism

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract Directional data analysis plays a central role in paleomagnetism, where observations lie on a spherical surface. Existing methods for analyzing directional data often fail to incorporate prior physical knowledge about plate geodynamics, significantly constraining their potential.
F. Sapienza, L. C. Gallo, J. Bolibar, F. Pérez, J. Taylor   +4 more
wiley   +1 more source

The eigenvalues of β-Laplacian of slant submanifolds in complex space forms

AIMS Mathematics
In this paper, we provided various estimates of the first nonzero eigenvalue of the $ \beta $-Laplacian operator on closed orientated $ p $-dimensional slant submanifolds of a $ 2m $-dimensional complex space form $ \widetilde{\mathbb{V}}^{2m}(4\epsilon)
Lamia Saeed Alqahtani, Akram Ali
doaj   +1 more source

Compactifications of strata of differentials

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley   +1 more source