Cover Image

On the first eigenvalue of the area Jacobi operator for complex curves in Kähler surfaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Xie, Zhenxiao
Format:	Preprint
Published:	2026
Subjects:	Differential Geometry 53A10 53C55 58J50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Rigidity of surfaces with nonpositive Euler characteristic by the second eigenvalue of the Jacobi operator
by: Batista, Márcio, et al.
Published: (2025)

Basic Dolbeault cohomology and Weitzenböck frmulas on transversely Kähler foliations
by: Jung, Seoung Dal, et al.
Published: (2017)

Extrinsic GJMS operators for submanifolds
by: Case, Jeffrey S., et al.
Published: (2023)

On quaternionic bisectional curvature
by: Macia, Oscar, et al.
Published: (2023)

On stability and scalar curvature rigidity of quaternion-Kähler manifolds
by: Kroencke, Klaus, et al.
Published: (2024)

Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds
by: Enciso, Alberto, et al.
Published: (2023)

Darboux-Lie derivatives
by: De Nicola, Antonio, et al.
Published: (2024)

First-eigenvalue maximization and inflation of maps
by: Nayatani, Shin
Published: (2025)

Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups
by: Arias-Marco, Teresa, et al.
Published: (2024)

The inverse curve shortening flow on the hyperbolic plane
by: Krznarić, Ivan, et al.
Published: (2026)

Holography of Higher Codimension Submanifolds: Riemannian and Conformal
by: Blitz, Samuel, et al.
Published: (2024)

CR compactification for asymptotically locally complex hyperbolic almost Hermitian manifolds
by: Pinoy, Alan
Published: (2023)

The Dirac-Dolbeault Operator Approach to the Hodge Conjecture
by: Farinelli, Simone
Published: (2021)

Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds
by: Pinoy, Alan
Published: (2022)

Large Steklov eigenvalues under volume constraints
by: Girouard, Alexandre, et al.
Published: (2024)

A symmetry condition for genus zero free boundary minimal surfaces attaining the first eigenvalue of one
by: Seo, Dong-Hwi
Published: (2024)

Exploring new extrinsic upper bounds on the first eigenvalue of the Laplace operator for compact submanifolds in Euclidean spaces
by: Palomo, Francisco J., et al.
Published: (2024)

Inaudibility of naturally reductive property
by: Arias-Marco, Teresa, et al.
Published: (2025)

Non-compact inaudibility of Naturally Reductive property
by: Arias-Marco, Teresa, et al.
Published: (2025)

Bertrand lightcone framed curves in the Lorentz-Minkowski 3-space
by: Nakatsuyama, Nozomi, et al.
Published: (2024)

Volume renormalization of higher-codimension singular Yamabe spaces
by: Kushtagi, Sri Rama Chandra, et al.
Published: (2024)

Robin nullity in mode $|k|=1$ and asymptotic radius of the critical hyperbolic catenoid
by: Pigazzini, Alexander
Published: (2026)

On a variational problem for curves in Lie sphere geometry
by: Nicolodi, Lorenzo
Published: (2025)

Remarks on the generalised Calabi-Yau problem in higher codimension
by: Assimos, Renan, et al.
Published: (2024)

Heat Flow under Semi-Flat Collapse with Conic Renormalization
by: Liao, Xin Yu
Published: (2026)

Spin(7) metrics from Kähler Geometry
by: Fowdar, Udhav
Published: (2020)

Einstein metrics on bundles over hyperKähler manifolds
by: Fowdar, Udhav
Published: (2021)

Maximal translation surfaces in Lorentz-Minkowski space
by: López, Rafael
Published: (2025)

The $G_2$ geometry of $3$-Sasaki structures
by: Nagy, Paul-Andi, et al.
Published: (2021)

The stability index and Yau's conjecture for Carlotto-Schulz minimal hypertori
by: Perdomo, Oscar
Published: (2025)

Estimates for Eigenvalues of the Dirichlet Laplacian on Riemannian Manifolds
by: Chen, Daguang, et al.
Published: (2025)

Prolongations, invariants, and fundamental identities of geometric structures
by: Hong, Jaehyun, et al.
Published: (2022)

Links between the integrable systems of CMC surfaces, isothermic surfaces and constrained Willmore surfaces
by: Leschke, Katrin
Published: (2025)

From Kähler Ricci solitons to Calabi-Yau Kähler cones
by: Apostolov, Vestislav, et al.
Published: (2024)

Dirac eigenvalues and the hyperspherical radius
by: Baer, Christian
Published: (2024)

Some QCH Kahler surfaces with zero scalar curvature
by: Jelonek, Włodzimierz
Published: (2022)

Conformal optimization of eigenvalues on surfaces with symmetries
by: Vinokurov, Denis
Published: (2025)

Spectral Deformation Flow and Dimension Recovery: Invariant-Based Rigidity for Simply-Connected Closed Manifolds
by: Alexa, Anton
Published: (2025)

Second Robin eigenvalue bounds for Schrödinger operators on Riemannian surfaces
by: Antonia, Railane, et al.
Published: (2026)

Magnetic ground states and the conformal class of a surface
by: Colbois, Bruno, et al.
Published: (2025)