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 2022-08-01 to 2026-08-01.)

Article	Citations
Geography of pinched four-manifolds	14
Uniqueness of hypersurfaces of constant higher order mean curvature in the hyperbolic space	13
A generalization of Kawamata–Viehweg vanishing theorem	10
Deformation theory of nearly $G_2$ manifolds	9
Vanishing time behavior of solutions to the fast diffusion equation	8
Generic hyperbolic knot complements without hidden symmetries	6
Spin-harmonic structures and nilmanifolds	6
Complete CMC hypersurfaces in Minkowski $(n+1)$-space	5
Heat kernel estimates on manifolds with ends with mixed boundary condition	5
Harmonic projections in negative curvature	5
On the existence of closed biconservative surfaces in space forms	4
Steklov eigenvalue problem on subgraphs of integer lattices	4
Avoidance for set-theoretic solutions of mean-curvature-type flows	4
$\operatorname{Spin}(7)$ metrics from Kähler Geometry	4
Almost splitting and quantitative stratification for super Ricci flow	4
Einstein-Yang-Mills equations in the double null framework	4
Conformal heat flow of maps under Yamabe flow of metrics	4
Submanifolds with constant principal curvatures in symmetric spaces	4
A monotonicity formula for the extrinsic biharmonic map heat flow	4
Maximal diameter theorem for directed graphs of positive Ricci curvature	3
On uniform log $K$-stability for constant scalar curvature Kähler cone metrics	3
Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity	3
Entire $\sigma_k$ curvature flow in Minkowski space	3
The generalizations of Horrocks criterion on flag varieties	3
$p$-Laplace operator on a connected finite graph	3

Hamilton-type entropy formula along the Ricci flow on surfaces with boundary	3
Monotonicity formulas and Hessian of the Green function	3
Solutions of the Allen–Cahn equation on closed manifolds in the presence of symmetry	3
Bigraded notions of formality and Aeppli-Bott-Chern-Massey products	2
Bergman–Einstein metric on a Stein space with a strongly pseudoconvex boundary	2
Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals	2
Remarks on constructing biharmonic and conformal biharmonic maps to spheres	2
Mass of asymptotically flat $3$-manifolds with boundary	2
ADM mass and the capacity-volume deficit at infinity	2
A duality for minimal surfaces in the Heisenberg group	2
Spherical CR uniformization of the magic 3-manifold	2
A note on minimal surfaces with bounded index	2
Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature	2
Preservation of product structures under the Ricci flow with instantaneous curvature bounds	2
$J$-functions and Hodge moduli algebras of simple elliptic singularities	2
Gopakumar-Vafa invariants of fiber classes on Calabi-Yau 4-folds fibered over curves	2
Monopoles and Landau-Ginzburg models I	2
The Constant Width Measure Set, the Spherical Measure Set  and isoperimetric equalities for planar ovals	2
Counting resonances on hyperbolic surfaces with unitary twists	2
Filling links and spines in $3$-manifolds	2
On positive semi-definite holomorphic sectional curvature with many zeroes	2
Remarks on minimal hypersurfaces in shrinking gradient Ricci solitons	1
Existence of mASD connections on 4-manifolds with cylindrical ends	1
A Bourgain–Brezis–Mironescu–Dávila theorem in Carnot groups of step two	1
Collapsing of $ALH^*$-gravitational instantons	1
Rigidity aspects of a cosmological singularity theorem	1
Mass, conformal capacity, and the volumetric Penrose inequality	1
Essential surfaces in the exterior of $K13n586$	1
On limit spaces of Riemannian manifolds with volume and integral curvature bounds	1
Twisting and satellite operations on P-fibered braids	1
Conformal Walker metrics and linear Fefferman-Graham equations	1
Closed Lagrangian self-shrinkers in $\mathbb{R}^4$ symmetric with respect to a hyperplane	1
The Dirac operator on cusped hyperbolic manifolds	1
Formulae of some global CR invariants for Sasakian $\eta$-Einstein manifolds	1
Unique continuation of Schrödinger-type equations for $\bar\partial$	1
Stein's theorem on infinite type domains	1
Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems	1
Preface	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
A two-piece property for free boundary minimal hypersurfaces in the $(n+1)$-dimensional ball	1
The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups	1
On the moduli space of the octonionic Nahm's equations	1
Index estimates for sequences of harmonic maps	1
The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension $3$	1
Interior control for surfaces with positive scalar curvature and its application	1
A new class of austere submanifolds	1
Foliations by critical surfaces of the Hawking energy in asymptotically flat initial data sets	1
Singular hyperbolic metrics and negative subharmonic functions	1
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach	1

Real Higgs pairs and non-abelian Hodge correspondence on a Klein surface	1
Hyperbolic volume, mod 2 homology, and $k$-freeness	1
Deformations of asymptotically conical Spin(7)-manifolds	1
Curve diffusion and straightening flows on parallel lines	1
A flow approach to the problems of prescribing geodesic curvature and $T$-curvature	1
Strengthened injectivity radius bounds for manifolds with positive scalar curvature	1
Weighted $L^{2}$ estimates for $\overline{\partial }$ and the Corona problem of several complex variables	1
Bergman functions and the equivalence problem of singular domains	1
Legendrian submanifolds from Bohr–Sommerfeld covers of monotone Lagrangian tori	1
Geodesic boundary of constant mean curvature surfaces in $\mathbb{H}^2 \times \mathbb{R}$	1
The Dirichlet principle for the complex $k$-Hessian functional	1
Band width estimates of CMC initial data sets	1
Conformal harmonic coordinates	1
Examples of biquotients whose tangent bundle is not a biquotient vector bundle	1
Differential Harnack inequalities via Concavity of the arrival time	1
Quasipositivity and braid index of pretzel knots	1
Stable maps and hyperbolic links	1
A Calabi-Yau theorem for Vaisman manifolds	1
Semicontinuity of capacity under pointed intrinsic flat convergence	1