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 2021-08-01 to 2025-08-01.)

Article	Citations
Uniqueness of hypersurfaces of constant higher order mean curvature in the hyperbolic space	12
Geography of pinched four-manifolds	9
Level curves of minimal graphs	9
Stochastically complete submanifolds with parallel mean curvature vector field in a Riemannian space form	8
Deformation theory of nearly $G_2$ manifolds	8
A two-point function approach to connectedness of drops in convex potentials	7
A generalization of Kawamata–Viehweg vanishing theorem	7
Harmonic projections in negative curvature	7
From vortices to instantons on the Euclidean Schwarzschild manifold	6
Vanishing time behavior of solutions to the fast diffusion equation	5
$\operatorname{Spin}(7)$ metrics from Kähler Geometry	5
Generalized Kähler Taub-NUT metrics and two exceptional instantons	4
Complete CMC hypersurfaces in Minkowski $(n+1)$-space	4
Convergence of energy functionals and stability of lower bounds of Ricci curvature via metric measure foliation	4
Spin-harmonic structures and nilmanifolds	4
The Weitzenbock formula for the Fueter–Dirac operator	4
Generic hyperbolic knot complements without hidden symmetries	4
Steklov eigenvalue problem on subgraphs of integer lattices	3
On the existence of closed biconservative surfaces in space forms	3
Avoidance for set-theoretic solutions of mean-curvature-type flows	3
Relations in the tautological ring of the universal curve	3
Heat kernel estimates on manifolds with ends with mixed boundary condition	3
Complex structures of a twenty-dimensional family of Calabi–Yau $3$-folds	3
Maximal diameter theorem for directed graphs of positive Ricci curvature	2
New surfaces with canonical map of high degree	2

Solutions of the Allen–Cahn equation on closed manifolds in the presence of symmetry	2
Extremally Ricci pinched $G_2$-structures on Lie groups	2
$p$-Laplace operator on a connected finite graph	2
The generalizations of Horrocks criterion on flag varieties	2
Hamilton-type entropy formula along the Ricci flow on surfaces with boundary	2
Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity	2
Spherical CR uniformization of the magic 3-manifold	2
Ancient solutions to the Ricci flow in higher dimensions	2
A softer connectivity principle	2
Submanifolds with constant principal curvatures in symmetric spaces	2
On uniform log $K$-stability for constant scalar curvature Kähler cone metrics	2
A note on minimal surfaces with bounded index	2
Counting resonances on hyperbolic surfaces with unitary twists	2
Stein's theorem on infinite type domains	1
Quasipositivity and braid index of pretzel knots	1
Bergman functions and the equivalence problem of singular domains	1
Twisting and satellite operations on P-fibered braids	1
K3 surfaces with a pair of commuting non-symplectic involutions	1
Bigraded notions of formality and Aeppli-Bott-Chern-Massey products	1
Differential Harnack inequalities via Concavity of the arrival time	1
An anisotropic shrinking flow and $L_p$ Minkowski problem	1
Mass of asymptotically flat $3$-manifolds with boundary	1
Filling links and spines in $3$-manifolds	1
A new class of austere submanifolds	1
Closed Lagrangian self-shrinkers in $\mathbb{R}^4$ symmetric with respect to a hyperplane	1
Real Higgs pairs and non-abelian Hodge correspondence on a Klein surface	1
A two-piece property for free boundary minimal hypersurfaces in the $(n+1)$-dimensional ball	1
Stable maps and hyperbolic links	1
Essential surfaces in the exterior of $K13n586$	1
Multiple valued sections of vector bundles: the reparametrization theorem for $Q$-valued functions revisited	1
A heat flow problem from Ericksen’s model for nematic liquid crystals with variable degree of orientation, II	1
Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature	1
Bergman–Einstein metric on a Stein space with a strongly pseudoconvex boundary	1
Monopoles and Landau-Ginzburg models I	1
Singular hyperbolic metrics and negative subharmonic functions	1
A Calabi-Yau theorem for Vaisman manifolds	1
The Dirac operator on cusped hyperbolic manifolds	1
Conformal Walker metrics and linear Fefferman-Graham equations	1
The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension $3$	1
On the moduli space of the octonionic Nahm's equations	1
Ribbon disks with the same exterior	1
Formulae of some global CR invariants for Sasakian $\eta$-Einstein manifolds	1
ADM mass and the capacity-volume deficit at infinity	1
On $\mathrm{C}$-class equations	1
Preservation of product structures under the Ricci flow with instantaneous curvature bounds	1
Conformal harmonic coordinates	1