OOIR: Observatory of International Research

Papers

(The TQCC of Differential Geometry and Its Applications 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 2022-07-01 to 2026-07-01.)

Article	Citations
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	31
Editorial Board	12
Editorial Board	11
New classes of Finsler metrics: The birth of new projective invariant	10
Topology of toric gravitational instantons	8
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	8
Editorial Board	7
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	7
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	7
On P-reducibility of general (α,β)-metrics	6
Singular points of equiangular webs	6
The geometry of line-symmetric rigid-body motions	6
Multiplicative vector fields on bundle gerbes	5
Collapsing to Alexandrov spaces with isolated mild singularities	5
Minimal hypersurfaces in	5
Existence of conformal metrics with prescribed Q-curvature on manifolds	5
Vector bundle automorphisms preserving Morse-Bott foliations	5
Conformal vector fields of projectively flat (α,β)-Finsler spaces	5
Gelfand duality for manifolds, and vector and other bundles	5
Existence and density results of conformal metrics with prescribed higher order Q-curvature on Sn	4
A Reilly type integral formula and its applications	4
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	4
Curvatures of strongly convex Kähler-Finsler manifolds	4
Generalised spin structures on homogeneous spaces	4
Editorial Board	4

The manifold of polygons degenerated to segments	4
On weakly Einstein submanifolds in space forms satisfying certain equalities	4
Genus three embedded doubly periodic minimal surfaces with parallel ends	4
The S-curvature of Finsler warped product metrics	4
Existence of a variational principle for PDEs with symmetries and current conservation	4
Isoparametric hypersurfaces in conic Finsler manifolds	4
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	3
Natural parallel translation and connection associated to navigation data	3
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
Heintze-Kobayashi-Wolf theory for negatively curved homogeneous Finsler manifolds	3
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	3
Editorial Board	3
On the local classification of four-dimensional Lorentzian real reductive pairs	3
Gradient estimates of the Finslerian Allen–Cahn equation	3
Editorial Board	3
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	3
A note on Chern-Weil classes of Cartan connections	3
Orlicz harmonic version of dual mixed volumes	2
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. II	2
Torsion-free connections on G-structures	2
Convergence of the weighted Yamabe flow	2
The Atiyah class of generalized holomorphic vector bundles	2
Generalized Alexandrov theorems in spacetimes with integral conditions	2
Editorial Board	2
Conformal surface splines	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
The category of Z−<	2
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2
Symplectic Hodge theory on Lie algebroids	2
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Connection blocking in quotients of Sol	2
Classification of conformal minimal immersions from S2 to G	2
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	2
Toric dually flat manifolds and complex space forms	2
Some characterizations of Bach solitons via Ricci curvature	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
Riemannian exponential and quantization	2
Polars and antipodal sets of generalized s-manifolds	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Reversible Finsler metrics of constant flag curvature	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
Weakly Einstein hypersurfaces in space forms	2
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	2
Examples of non-target-representable symplectic capacities	2
Li-Yau-Hamilton estimates, logarithmic Harnack inequalities and the concavity of entropy power on finite graphs	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2

Rigidity of homogeneous gradient soliton metrics and related equations	2
The isoparametric functions on a class of Finsler spheres	2
A new approach to the classification of almost contact metric manifolds via intrinsic endomorphisms	2
On the geometry of conullity two manifolds	1
Vector bundles on real abelian varieties	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
Deformations of cohesive modules on compact complex manifolds	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Vortex-type equations on compact Riemann surfaces	1
Principal bundles in the category of Z	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
Orbifolds as stratified diffeologies	1
A class of new complete affine maximal type hypersurfaces	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Remarks on exact G2-structures on compact manifolds	1
Geometry of cotangent bundle of Heisenberg group	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
The Brylinski beta function of a double layer	1
The group of symplectomorphisms of	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
On comass and stable systolic inequalities	1
Editorial Board	1
Geometry of cascade feedback linearizable control systems	1
On the integration of Manin pairs	1
On a result of K. Okumura	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Generalized Kazdan-Warner equations on foliated manifolds	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1
A flow method to isoperimetric inequality for mean convex star-shaped capillary hypersurfaces in a cone	1
Holomorphic projective connections on surfaces	1
Bour's theorem for helicoidal surfaces with singularities	1
Reductive homogeneous Lorentzian manifolds	1
Loop Weierstrass representation	1
Multiplicity-free covering of a graded manifold	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
The maximal curves and heat flow in general-affine geometry	1
A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian manifolds	1
The energy density of biharmonic quadratic maps between spheres	1
Modal fracture of higher groups	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
Subgradient estimates for the equation Δ	1
Editorial Board	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
A note on the shifted Courant-Nijenhuis torsion	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
Banach Poisson–Lie groups, Lax equations and the AKS theorem in infinite dimensions	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
On the first eigenvalue of the Neumann problem	1
Some geometric properties of normal and tangent submanifolds	1
Some modifications of Getzler's grading technique	1
Minkowskian product Finsler manifold with isotropic flag curvature	1
The classification of complex generalized symplectic left-symmetric algebras in dimension 4	1
A note on the Chern Conjecture in dimension four	1