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

Article	Citations
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	33
Editorial Board	12
Editorial Board	11
New classes of Finsler metrics: The birth of new projective invariant	10
Editorial Board	9
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	9
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	7
Singular points of equiangular webs	7
The geometry of line-symmetric rigid-body motions	7
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	7
Genus three embedded doubly periodic minimal surfaces with parallel ends	6
On P-reducibility of general (α,β)-metrics	6
Topology of toric gravitational instantons	6
Existence of conformal metrics with prescribed Q-curvature on manifolds	5
Minimal hypersurfaces in	5
Existence and density results of conformal metrics with prescribed higher order Q-curvature on Sn	5
Collapsing to Alexandrov spaces with isolated mild singularities	5
Conformal vector fields of projectively flat (α,β)-Finsler spaces	5
Generalised spin structures on homogeneous spaces	5
Gelfand duality for manifolds, and vector and other bundles	5
On weakly Einstein submanifolds in space forms satisfying certain equalities	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
Existence of a variational principle for PDEs with symmetries and current conservation	4
The manifold of polygons degenerated to segments	4

Vector bundle automorphisms preserving Morse-Bott foliations	4
Multiplicative vector fields on bundle gerbes	4
On conformal transformations preserving the Ricci tensor in Finsler geometry	4
Curvatures of strongly convex Kähler-Finsler manifolds	4
The S-curvature of Finsler warped product metrics	4
Editorial Board	4
Isoparametric hypersurfaces in conic Finsler manifolds	4
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	4
Editorial Board	3
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	3
A note on Chern-Weil classes of Cartan connections	3
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	3
Natural parallel translation and connection associated to navigation data	3
On the local classification of four-dimensional Lorentzian real reductive pairs	3
Connection blocking in quotients of Sol	3
Heintze-Kobayashi-Wolf theory for negatively curved homogeneous Finsler manifolds	3
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	3
Editorial Board	3
Prolongations, invariants, and fundamental identities of geometric structures	3
Torsion-free connections on G-structures	3
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	2
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	2
Conformal surface splines	2
A new approach to the classification of almost contact metric manifolds via intrinsic endomorphisms	2
Examples of non-target-representable symplectic capacities	2
The isoparametric functions on a class of Finsler spheres	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Riemannian exponential and quantization	2
Orlicz harmonic version of dual mixed volumes	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
The Atiyah class of generalized holomorphic vector bundles	2
The category of Z−<	2
Principal bundles in the category of Z	2
Bifurcations of robust features on surfaces in the Minkowski 3-space	2
Generalized Alexandrov theorems in spacetimes with integral conditions	2
Some characterizations of Bach solitons via Ricci curvature	2
Classification of conformal minimal immersions from S2 to G	2
Editorial Board	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Weakly Einstein hypersurfaces in space forms	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
Gradient estimates of the Finslerian Allen–Cahn equation	2
Symplectic Hodge theory on Lie algebroids	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
Holomorphic projective connections on surfaces	2
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	2
Li-Yau-Hamilton estimates, logarithmic Harnack inequalities and the concavity of entropy power on finite graphs	2

Toric dually flat manifolds and complex space forms	2
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
Polars and antipodal sets of generalized s-manifolds	2
Reversible Finsler metrics of constant flag curvature	2
Convergence of the weighted Yamabe flow	2
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. II	2
Explicit pseudo-Kähler metrics on flag manifolds	1
Hodge decomposition of the Sobolev space H1 on a space form of nonpositive curvature	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
A construction of G2-manifolds from K3 surfaces with a Z	1
Subgradient estimates for the equation Δ	1
The energy density of biharmonic quadratic maps between spheres	1
Generalized Kazdan-Warner equations on foliated manifolds	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
The classification of complex generalized symplectic left-symmetric algebras in dimension 4	1
On a result of K. Okumura	1
Editorial Board	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Remarks on exact G2-structures on compact manifolds	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Vortex-type equations on compact Riemann surfaces	1
Bour's theorem for helicoidal surfaces with singularities	1
Orbifolds as stratified diffeologies	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian manifolds	1
Banach Poisson–Lie groups, Lax equations and the AKS theorem in infinite dimensions	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
Singularities of discrete indefinite affine minimal surfaces	1
Reductive homogeneous Lorentzian manifolds	1
Minkowskian product Finsler manifold with isotropic flag curvature	1
Loop Weierstrass representation	1
A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures	1
Geometry of cotangent bundle of Heisenberg group	1
Deformations of cohesive modules on compact complex manifolds	1
Multiplicity-free covering of a graded manifold	1
Structures of sympathetic Lie conformal superalgebras	1
Modal fracture of higher groups	1
Vector bundles on real abelian varieties	1
A note on the Chern Conjecture in dimension four	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	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
A note on the shifted Courant-Nijenhuis torsion	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
On the geometry of conullity two manifolds	1
Harmonicity of normal almost contact metric structures	1
The maximal curves and heat flow in general-affine geometry	1
Entire translating graphs in weighted product spaces: Rigidity and nonexistence results	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Some geometric properties of normal and tangent submanifolds	1
On the first eigenvalue of the Neumann problem	1
The group of symplectomorphisms of	1
On comass and stable systolic inequalities	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
Geometry of cascade feedback linearizable control systems	1
On the integration of Manin pairs	1
Editorial Board	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
A flow method to isoperimetric inequality for mean convex star-shaped capillary hypersurfaces in a cone	1
Some modifications of Getzler's grading technique	1
The Brylinski beta function of a double layer	1
A class of new complete affine maximal type hypersurfaces	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
Geometry of noncompact static electrovacuum spacetime	1