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

Article	Citations
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	28
Editorial Board	12
New classes of Finsler metrics: The birth of new projective invariant	12
Editorial Board	10
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	8
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	7
Editorial Board	7
The geometry of line-symmetric rigid-body motions	7
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	6
Topology of toric gravitational instantons	6
CR-relatives Kähler manifolds	6
Multiplicative vector fields on bundle gerbes	5
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	5
Existence of conformal metrics with prescribed Q-curvature on manifolds	5
The S-curvature of Finsler warped product metrics	5
On P-reducibility of general (α,β)-metrics	5
Gelfand duality for manifolds, and vector and other bundles	5
Vector bundle automorphisms preserving Morse-Bott foliations	5
Conformal Kaehler Euclidean submanifolds	5
Minimal hypersurfaces in	5
Collapsing to Alexandrov spaces with isolated mild singularities	5
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4
On weakly Einstein submanifolds in space forms satisfying certain equalities	4
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	4
A Reilly type integral formula and its applications	4

The manifold of polygons degenerated to segments	4
Generalised spin structures on homogeneous spaces	4
Editorial Board	4
Isoparametric hypersurfaces in conic Finsler manifolds	4
Torsion-free connections on G-structures	3
Differential invariants of curves in G2 flag varieties	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
Editorial Board	3
Editorial Board	3
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
Existence of a variational principle for PDEs with symmetries and current conservation	3
Reversible Finsler metrics of constant flag curvature	3
Curvatures of strongly convex Kähler-Finsler manifolds	3
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	3
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	3
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	2
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	2
Principal bundles in the category of Z	2
Some characterizations of Bach solitons via Ricci curvature	2
Riemannian exponential and quantization	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	2
Connection blocking in quotients of Sol	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
The isoparametric functions on a class of Finsler spheres	2
Generalized Alexandrov theorems in spacetimes with integral conditions	2
Holomorphic projective connections on surfaces	2
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	2
The Atiyah class of generalized holomorphic vector bundles	2
Examples of non-target-representable symplectic capacities	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
Conformal surface splines	2
The category of Z−<	2
Orlicz harmonic version of dual mixed volumes	2
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Classification of conformal minimal immersions from S2 to G	2
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	2
Bifurcations of robust features on surfaces in the Minkowski 3-space	2
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	2
Symplectic Hodge theory on Lie algebroids	2
Toric dually flat manifolds and complex space forms	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2

Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2
Convergence of the weighted Yamabe flow	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. II	2
Reductive homogeneous Lorentzian manifolds	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Structures of sympathetic Lie conformal superalgebras	1
Banach Poisson–Lie groups, Lax equations and the AKS theorem in infinite dimensions	1
Deformations of cohesive modules on compact complex manifolds	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
A note on the shifted Courant-Nijenhuis torsion	1
A note on the Chern Conjecture in dimension four	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Editorial Board	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
On the geometry of conullity two manifolds	1
On the first eigenvalue of the Neumann problem	1
Non-lorentzian spacetimes	1
On the integration of Manin pairs	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
Sprays of weakly isotropic curvature	1
Vortex-type equations on compact Riemann surfaces	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Hodge decomposition of the Sobolev space H1 on a space form of nonpositive curvature	1
A class of new complete affine maximal type hypersurfaces	1
The energy density of biharmonic quadratic maps between spheres	1
An interesting family of conformally invariant one-forms in even dimensions	1
Orbifolds as stratified diffeologies	1
Some geometric properties of normal and tangent submanifolds	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Subgradient estimates for the equation Δ	1
Geometry of cascade feedback linearizable control systems	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
A construction of G2-manifolds from K3 surfaces with a Z	1
The Brylinski beta function of a double layer	1
The maximal curves and heat flow in general-affine geometry	1
Vector bundles on real abelian varieties	1
Modal fracture of higher groups	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
Some modifications of Getzler's grading technique	1
Bour's theorem for helicoidal surfaces with singularities	1
Entire translating graphs in weighted product spaces: Rigidity and nonexistence results	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures	1
Remarks on exact G2-structures on compact manifolds	1
Explicit pseudo-Kähler metrics on flag manifolds	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
Editorial Board	1
On a result of K. Okumura	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian manifolds	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
The group of symplectomorphisms of	1
Geometry of cotangent bundle of Heisenberg group	1
The nonexistence of gradient almost Ricci solitons warped product	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Editorial Board	1