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 2022-01-01 to 2026-01-01.)

Article	Citations
Stochastically complete submanifolds with parallel mean curvature vector field in a Riemannian space form	16
Deformation theory of nearly $G_2$ manifolds	12
A generalization of Kawamata–Viehweg vanishing theorem	10
Geography of pinched four-manifolds	9
A two-point function approach to connectedness of drops in convex potentials	8
Uniqueness of hypersurfaces of constant higher order mean curvature in the hyperbolic space	8
Level curves of minimal graphs	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
Avoidance for set-theoretic solutions of mean-curvature-type flows	5
Spin-harmonic structures and nilmanifolds	5
From vortices to instantons on the Euclidean Schwarzschild manifold	5
Harmonic projections in negative curvature	5
Generic hyperbolic knot complements without hidden symmetries	5
Complete CMC hypersurfaces in Minkowski $(n+1)$-space	4
The Weitzenbock formula for the Fueter–Dirac operator	4
On uniform log $K$-stability for constant scalar curvature Kähler cone metrics	4
Heat kernel estimates on manifolds with ends with mixed boundary condition	4
Submanifolds with constant principal curvatures in symmetric spaces	4
On the existence of closed biconservative surfaces in space forms	4
$\operatorname{Spin}(7)$ metrics from Kähler Geometry	4
Steklov eigenvalue problem on subgraphs of integer lattices	4
Generalized Kähler Taub-NUT metrics and two exceptional instantons	4
The generalizations of Horrocks criterion on flag varieties	3
A softer connectivity principle	3

Complex structures of a twenty-dimensional family of Calabi–Yau $3$-folds	3
Hamilton-type entropy formula along the Ricci flow on surfaces with boundary	3
Relations in the tautological ring of the universal curve	3
Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity	3
Maximal diameter theorem for directed graphs of positive Ricci curvature	3
Mass of asymptotically flat $3$-manifolds with boundary	2
Monopoles and Landau-Ginzburg models I	2
Bergman–Einstein metric on a Stein space with a strongly pseudoconvex boundary	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
Counting resonances on hyperbolic surfaces with unitary twists	2
Multiple valued sections of vector bundles: the reparametrization theorem for $Q$-valued functions revisited	2
Geodesic boundary of constant mean curvature surfaces in $\mathbb{H}^2 \times \mathbb{R}$	2
Bigraded notions of formality and Aeppli-Bott-Chern-Massey products	2
On positive semi-definite holomorphic sectional curvature with many zeroes	2
On $\mathrm{C}$-class equations	2
Extremally Ricci pinched $G_2$-structures on Lie groups	2
$p$-Laplace operator on a connected finite graph	2
Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature	2
The Constant Width Measure Set, the Spherical Measure Set  and isoperimetric equalities for planar ovals	2
A heat flow problem from Ericksen’s model for nematic liquid crystals with variable degree of orientation, II	2
Formulae of some global CR invariants for Sasakian $\eta$-Einstein manifolds	2
An anisotropic shrinking flow and $L_p$ Minkowski problem	2
$J$-functions and Hodge moduli algebras of simple elliptic singularities	2
Filling links and spines in $3$-manifolds	2
A note on minimal surfaces with bounded index	2
New surfaces with canonical map of high degree	2
Ancient solutions to the Ricci flow in higher dimensions	2
Preservation of product structures under the Ricci flow with instantaneous curvature bounds	2
On the moduli space of the octonionic Nahm's equations	2
Differential Harnack inequalities via Concavity of the arrival time	2
ADM mass and the capacity-volume deficit at infinity	2
The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups	1
On positive scalar curvature bordism	1
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach	1
Quasipositivity and braid index of pretzel knots	1
Closed Lagrangian self-shrinkers in $\mathbb{R}^4$ symmetric with respect to a hyperplane	1
The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension $3$	1
A new class of austere submanifolds	1
Band width estimates of CMC initial data sets	1
A Calabi-Yau theorem for Vaisman manifolds	1
Regularity of Lie groups	1
Weighted $L^{2}$ estimates for $\overline{\partial }$ and the Corona problem of several complex variables	1
Singularities of axially symmetric volume preserving mean curvature flow	1
Quasi-local mass on unit spheres at spatial infinity	1
Index estimates for sequences of harmonic maps	1
Bergman functions and the equivalence problem of singular domains	1
Examples of biquotients whose tangent bundle is not a biquotient vector bundle	1
A two-piece property for free boundary minimal hypersurfaces in the $(n+1)$-dimensional ball	1
Twisting and satellite operations on P-fibered braids	1

Essential surfaces in the exterior of $K13n586$	1
Conformal Walker metrics and linear Fefferman-Graham equations	1
Real Higgs pairs and non-abelian Hodge correspondence on a Klein surface	1
Stein's theorem on infinite type domains	1
Intrinsic flat stability of manifolds with boundary where volume converges and distance is bounded below	1
Existence and applications of Ricci flows via pseudolocality	1
Hyperbolic volume, mod 2 homology, and $k$-freeness	1
Legendrian submanifolds from Bohr–Sommerfeld covers of monotone Lagrangian tori	1
On Gauduchon connections with Kähler-like curvature	1
The Dirac operator on cusped hyperbolic manifolds	1
Ribbon disks with the same exterior	1
K3 surfaces with a pair of commuting non-symplectic involutions	1
Stable maps and hyperbolic links	1
Conformal harmonic coordinates	1
Singular hyperbolic metrics and negative subharmonic functions	1
The Dirichlet principle for the complex $k$-Hessian functional	1
Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy	1
On limit spaces of Riemannian manifolds with volume and integral curvature bounds	1
Local and global gradient estimates for Finsler $p$-harmonic functions	1