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 2022-05-01 to 2026-05-01.)

Article	Citations
Deformation theory of nearly $G_2$ manifolds	14
A generalization of Kawamata–Viehweg vanishing theorem	13
Geography of pinched four-manifolds	7
Vanishing time behavior of solutions to the fast diffusion equation	7
Uniqueness of hypersurfaces of constant higher order mean curvature in the hyperbolic space	7
Complete CMC hypersurfaces in Minkowski $(n+1)$-space	5
Spin-harmonic structures and nilmanifolds	5
Harmonic projections in negative curvature	5
Generic hyperbolic knot complements without hidden symmetries	5
Avoidance for set-theoretic solutions of mean-curvature-type flows	4
On the existence of closed biconservative surfaces in space forms	4
Heat kernel estimates on manifolds with ends with mixed boundary condition	4
$\operatorname{Spin}(7)$ metrics from Kähler Geometry	4
Steklov eigenvalue problem on subgraphs of integer lattices	4
Conformal heat flow of maps under Yamabe flow of metrics	3
On uniform log $K$-stability for constant scalar curvature Kähler cone metrics	3
The generalizations of Horrocks criterion on flag varieties	3
Maximal diameter theorem for directed graphs of positive Ricci curvature	3
Einstein-Yang-Mills equations in the double null framework	3
Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity	3
Hamilton-type entropy formula along the Ricci flow on surfaces with boundary	3
Entire $\sigma_k$ curvature flow in Minkowski space	3
Submanifolds with constant principal curvatures in symmetric spaces	3
Spherical CR uniformization of the magic 3-manifold	2
Monotonicity formulas and Hessian of the Green function	2

The Constant Width Measure Set, the Spherical Measure Set  and isoperimetric equalities for planar ovals	2
Monopoles and Landau-Ginzburg models I	2
Gopakumar-Vafa invariants of fiber classes on Calabi-Yau 4-folds fibered over curves	2
Solutions of the Allen–Cahn equation on closed manifolds in the presence of symmetry	2
A note on minimal surfaces with bounded index	2
Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals	2
Counting resonances on hyperbolic surfaces with unitary twists	2
Mass of asymptotically flat $3$-manifolds with boundary	2
$p$-Laplace operator on a connected finite graph	2
Remarks on constructing biharmonic and conformal biharmonic maps to spheres	2
Filling links and spines in $3$-manifolds	2
Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature	2
Bergman–Einstein metric on a Stein space with a strongly pseudoconvex boundary	2
Twisting and satellite operations on P-fibered braids	1
Quasipositivity and braid index of pretzel knots	1
Closed Lagrangian self-shrinkers in $\mathbb{R}^4$ symmetric with respect to a hyperplane	1
Differential Harnack inequalities via Concavity of the arrival time	1
ADM mass and the capacity-volume deficit at infinity	1
On positive semi-definite holomorphic sectional curvature with many zeroes	1
Formulae of some global CR invariants for Sasakian $\eta$-Einstein manifolds	1
Bergman functions and the equivalence problem of singular domains	1
The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups	1
Legendrian submanifolds from Bohr–Sommerfeld covers of monotone Lagrangian tori	1
The Dirichlet principle for the complex $k$-Hessian functional	1
The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension $3$	1
The Dirac operator on cusped hyperbolic manifolds	1
Essential surfaces in the exterior of $K13n586$	1
A two-piece property for free boundary minimal hypersurfaces in the $(n+1)$-dimensional ball	1
Singular hyperbolic metrics and negative subharmonic functions	1
A duality for minimal surfaces in the Heisenberg group	1
Interior control for surfaces with positive scalar curvature and its application	1
Preservation of product structures under the Ricci flow with instantaneous curvature bounds	1
A new class of austere submanifolds	1
On the moduli space of the octonionic Nahm's equations	1
Index estimates for sequences of harmonic maps	1
Unique continuation of Schrödinger-type equations for $\bar\partial$	1
Conformal Walker metrics and linear Fefferman-Graham equations	1
Band width estimates of CMC initial data sets	1
Examples of biquotients whose tangent bundle is not a biquotient vector bundle	1
Conformal harmonic coordinates	1
Real Higgs pairs and non-abelian Hodge correspondence on a Klein surface	1
Stable maps and hyperbolic links	1
Bigraded notions of formality and Aeppli-Bott-Chern-Massey products	1
$J$-functions and Hodge moduli algebras of simple elliptic singularities	1
Geodesic boundary of constant mean curvature surfaces in $\mathbb{H}^2 \times \mathbb{R}$	1
A Calabi-Yau theorem for Vaisman manifolds	1
Mass, conformal capacity, and the volumetric Penrose inequality	1
Hyperbolic volume, mod 2 homology, and $k$-freeness	1
Stein's theorem on infinite type domains	1
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach	1