OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Analysis and Geometry is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)

Article	Citations
Stochastically complete submanifolds with parallel mean curvature vector field in a Riemannian space form	15
Deformation theory of nearly $G_2$ manifolds	11
A generalization of Kawamata–Viehweg vanishing theorem	9
Uniqueness of hypersurfaces of constant higher order mean curvature in the hyperbolic space	8
Level curves of minimal graphs	8
A two-point function approach to connectedness of drops in convex potentials	8
Geography of pinched four-manifolds	8
Vanishing time behavior of solutions to the fast diffusion equation	7
Convergence of energy functionals and stability of lower bounds of Ricci curvature via metric measure foliation	6
From vortices to instantons on the Euclidean Schwarzschild manifold	5
Generic hyperbolic knot complements without hidden symmetries	5
Spin-harmonic structures and nilmanifolds	5
Complete CMC hypersurfaces in Minkowski $(n+1)$-space	4
Harmonic projections in negative curvature	4
The Weitzenbock formula for the Fueter–Dirac operator	4
Avoidance for set-theoretic solutions of mean-curvature-type flows	4
Steklov eigenvalue problem on subgraphs of integer lattices	4
On the existence of closed biconservative surfaces in space forms	4
$\operatorname{Spin}(7)$ metrics from Kähler Geometry	4
Generalized Kähler Taub-NUT metrics and two exceptional instantons	4
Heat kernel estimates on manifolds with ends with mixed boundary condition	4
Hamilton-type entropy formula along the Ricci flow on surfaces with boundary	3
Relations in the tautological ring of the universal curve	3
Maximal diameter theorem for directed graphs of positive Ricci curvature	3
Complex structures of a twenty-dimensional family of Calabi–Yau $3$-folds	3

Submanifolds with constant principal curvatures in symmetric spaces	3
A softer connectivity principle	3
Extremally Ricci pinched $G_2$-structures on Lie groups	2
New surfaces with canonical map of high degree	2
The generalizations of Horrocks criterion on flag varieties	2
$p$-Laplace operator on a connected finite graph	2
Monopoles and Landau-Ginzburg models I	2
ADM mass and the capacity-volume deficit at infinity	2
Mass of asymptotically flat $3$-manifolds with boundary	2
Preservation of product structures under the Ricci flow with instantaneous curvature bounds	2
Ancient solutions to the Ricci flow in higher dimensions	2
Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity	2
On uniform log $K$-stability for constant scalar curvature Kähler cone metrics	2
Filling links and spines in $3$-manifolds	2
Formulae of some global CR invariants for Sasakian $\eta$-Einstein manifolds	2
On positive semi-definite holomorphic sectional curvature with many zeroes	2
Counting resonances on hyperbolic surfaces with unitary twists	2
On $\mathrm{C}$-class equations	2
Spherical CR uniformization of the magic 3-manifold	2
Solutions of the Allen–Cahn equation on closed manifolds in the presence of symmetry	2
Bergman–Einstein metric on a Stein space with a strongly pseudoconvex boundary	2
A note on minimal surfaces with bounded index	2
An anisotropic shrinking flow and $L_p$ Minkowski problem	2
Bigraded notions of formality and Aeppli-Bott-Chern-Massey products	2
Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature	2
K3 surfaces with a pair of commuting non-symplectic involutions	1
Conformal Walker metrics and linear Fefferman-Graham equations	1
Stable maps and hyperbolic links	1
Conformal harmonic coordinates	1
Singular hyperbolic metrics and negative subharmonic functions	1
Differential Harnack inequalities via Concavity of the arrival time	1
A two-piece property for free boundary minimal hypersurfaces in the $(n+1)$-dimensional ball	1
Quasi-local mass on unit spheres at spatial infinity	1
Existence and applications of Ricci flows via pseudolocality	1
The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups	1
Local and global gradient estimates for Finsler $p$-harmonic functions	1
Stein's theorem on infinite type domains	1
Bergman functions and the equivalence problem of singular domains	1
On positive scalar curvature bordism	1
The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension $3$	1
Closed Lagrangian self-shrinkers in $\mathbb{R}^4$ symmetric with respect to a hyperplane	1
Multiple valued sections of vector bundles: the reparametrization theorem for $Q$-valued functions revisited	1
On the moduli space of the octonionic Nahm's equations	1
A new class of austere submanifolds	1
Examples of biquotients whose tangent bundle is not a biquotient vector bundle	1
Index estimates for sequences of harmonic maps	1
The Dirichlet principle for the complex $k$-Hessian functional	1
On Gauduchon connections with Kähler-like curvature	1
Real Higgs pairs and non-abelian Hodge correspondence on a Klein surface	1
Twisting and satellite operations on P-fibered braids	1

The Dirac operator on cusped hyperbolic manifolds	1
Essential surfaces in the exterior of $K13n586$	1
A heat flow problem from Ericksen’s model for nematic liquid crystals with variable degree of orientation, II	1
Ribbon disks with the same exterior	1
Geodesic boundary of constant mean curvature surfaces in $\mathbb{H}^2 \times \mathbb{R}$	1
Quasipositivity and braid index of pretzel knots	1
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach	1
Hyperbolic volume, mod 2 homology, and $k$-freeness	1
Legendrian submanifolds from Bohr–Sommerfeld covers of monotone Lagrangian tori	1
A Calabi-Yau theorem for Vaisman manifolds	1