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 2022-06-01 to 2026-06-01.)

Article	Citations
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	28
Editorial Board	13
Editorial Board	12
New classes of Finsler metrics: The birth of new projective invariant	10
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	9
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	7
Editorial Board	7
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	7
Topology of toric gravitational instantons	7
Multiplicative vector fields on bundle gerbes	6
The geometry of line-symmetric rigid-body motions	6
The S-curvature of Finsler warped product metrics	6
Singular points of equiangular webs	6
Minimal hypersurfaces in	5
Existence of conformal metrics with prescribed Q-curvature on manifolds	5
Generalised spin structures on homogeneous spaces	5
Gelfand duality for manifolds, and vector and other bundles	5
On P-reducibility of general (α,β)-metrics	5
Conformal vector fields of projectively flat (α,β)-Finsler spaces	5
Collapsing to Alexandrov spaces with isolated mild singularities	5
Genus three embedded doubly periodic minimal surfaces with parallel ends	5
Existence and density results of conformal metrics with prescribed higher order Q-curvature on Sn	5
A Reilly type integral formula and its applications	4
On weakly Einstein submanifolds in space forms satisfying certain equalities	4
Isoparametric hypersurfaces in conic Finsler manifolds	4

CR-relatives Kähler manifolds	4
Editorial Board	4
Curvatures of strongly convex Kähler-Finsler manifolds	4
Existence of a variational principle for PDEs with symmetries and current conservation	4
Conformal Kaehler Euclidean submanifolds	4
Vector bundle automorphisms preserving Morse-Bott foliations	4
The manifold of polygons degenerated to segments	4
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	4
Differential invariants of curves in G2 flag varieties	3
Editorial Board	3
Torsion-free connections on G-structures	3
Reversible Finsler metrics of constant flag curvature	3
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
Natural parallel translation and connection associated to navigation data	3
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	3
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	3
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	3
Editorial Board	3
Connection blocking in quotients of Sol	3
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	3
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	2
Generalized Alexandrov theorems in spacetimes with integral conditions	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	2
The isoparametric functions on a class of Finsler spheres	2
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Weakly Einstein hypersurfaces in space forms	2
Orlicz harmonic version of dual mixed volumes	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Gradient estimates of the Finslerian Allen–Cahn equation	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
The category of Z−<	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	2
Conformal surface splines	2
Examples of non-target-representable symplectic capacities	2
Classification of conformal minimal immersions from S2 to G	2
Polars and antipodal sets of generalized s-manifolds	2
The Atiyah class of generalized holomorphic vector bundles	2
Symplectic Hodge theory on Lie algebroids	2
On the local classification of four-dimensional Lorentzian real reductive pairs	2
A note on Chern-Weil classes of Cartan connections	2
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. II	2
Convergence of the weighted Yamabe flow	2
Riemannian exponential and quantization	2
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	2
Editorial Board	2
Some characterizations of Bach solitons via Ricci curvature	2
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2

Some results on Kenmotsu and Sasakian statistical manifolds	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
A new approach to the classification of almost contact metric manifolds via intrinsic endomorphisms	2
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Toric dually flat manifolds and complex space forms	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Heintze-Kobayashi-Wolf theory for negatively curved homogeneous Finsler manifolds	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Orbifolds as stratified diffeologies	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
Editorial Board	1
Reductive homogeneous Lorentzian manifolds	1
Geometry of cotangent bundle of Heisenberg group	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Geometry of cascade feedback linearizable control systems	1
The classification of complex generalized symplectic left-symmetric algebras in dimension 4	1
On the first eigenvalue of the Neumann problem	1
On a result of K. Okumura	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian manifolds	1
On projective invariants of general spherically symmetric Finsler spaces in Rn	1
Some modifications of Getzler's grading technique	1
Multiplicity-free covering of a graded manifold	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
Sprays of weakly isotropic curvature	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
Vortex-type equations on compact Riemann surfaces	1
A class of new complete affine maximal type hypersurfaces	1
Principal bundles in the category of Z	1
Subgradient estimates for the equation Δ	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
Loop Weierstrass representation	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
Remarks on exact G2-structures on compact manifolds	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Editorial Board	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
On the geometry of conullity two manifolds	1
The nonexistence of gradient almost Ricci solitons warped product	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
Generalized Kazdan-Warner equations on foliated manifolds	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Li-Yau-Hamilton estimates, logarithmic Harnack inequalities and the concavity of entropy power on finite graphs	1
Bour's theorem for helicoidal surfaces with singularities	1
A flow method to isoperimetric inequality for mean convex star-shaped capillary hypersurfaces in a cone	1
A note on the shifted Courant-Nijenhuis torsion	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Non-lorentzian spacetimes	1
A note on the Chern Conjecture in dimension four	1
On the integration of Manin pairs	1
The maximal curves and heat flow in general-affine geometry	1
Some geometric properties of normal and tangent submanifolds	1
The Brylinski beta function of a double layer	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Modal fracture of higher groups	1
An interesting family of conformally invariant one-forms in even dimensions	1
Holomorphic projective connections on surfaces	1
Vector bundles on real abelian varieties	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
Banach Poisson–Lie groups, Lax equations and the AKS theorem in infinite dimensions	1