Eigenvalue estimates on quaternion-Kähler manifolds
From MaRDI portal
Publication:2679620
DOI10.1007/s12220-022-01141-5zbMath1506.35131arXiv2105.06303OpenAlexW3161137759MaRDI QIDQ2679620
Publication date: 23 January 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.06303
Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) PDEs on manifolds (35R01)
Related Items (2)
Lower bounds for the first eigenvalue of 𝑝-Laplacian on Kähler manifolds ⋮ Lower bounds for the first eigenvalue of the \(p\)-Laplacian on quaternionic Kähler manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds
- Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
- Moduli of continuity for viscosity solutions on manifolds
- Some comparison theorems for Kähler manifolds
- On the spectral gap for compact manifolds
- Comparison theorem for Kähler manifolds and positivity of spectrum
- Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable
- Quaternion Kählerian manifolds
- An elementary method in the study of nonnegative curvature
- Application of coupling method to the first eigenvalue on manifold
- Some new results on eigenvectors via dimension, diameter, and Ricci curvature
- Comparison and vanishing theorems for Kähler manifolds
- Estimates on the modulus of expansion for vector fields solving nonlinear equations
- Kähler manifolds with Ricci curvature lower bound
- First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds
- Modulus of continuity estimates for fully nonlinear parabolic equations
- Sharp lower bound for the first eigenvalue of the weighted \(p\)-Laplacian. I
- Fundamental gap estimate for convex domains on sphere -- the case \(n=2\)
- Sharp lower bound for the first eigenvalue of the weighted \(p\)-Laplacian. II
- On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
- Sharp fundamental gap estimate on convex domains of sphere
- Gradient estimates via two-point functions for elliptic equations on manifolds
- Spectrum of the Laplacian on quaternionic Kähler manifolds
- Lectures on Kähler manifolds
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- Moduli of continuity for viscosity solutions
- Proof of the fundamental gap conjecture
- Fundamental Gap of Convex Domains in the Spheres
- On a lower bound for the first eigenvalue of the Laplace operator on a riemannian manifold
- Time-interior gradient estimates for quasilinear parabolic equations
- Stability of Harmonic Maps and Eigenvalues of the Laplacian
- User’s guide to viscosity solutions of second order partial differential equations
- An alternative proof of lower bounds for the first eigenvalue on manifolds
- First eigenvalue of the $p$-Laplacian on Kähler manifolds
- Eigenvalue Comparison on Bakry-Emery Manifolds
- Manifolds with positive orthogonal Ricci curvature
- Brownian Motions and Heat Kernel Lower Bounds on Kähler and Quaternion Kähler Manifolds
- Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds
- On orthogonal Ricci curvature
- A Remark on Zhong-Yang's Eigenvalue Estimate
This page was built for publication: Eigenvalue estimates on quaternion-Kähler manifolds