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

Article	Citations
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	24
Editorial Board	12
New classes of Finsler metrics: The birth of new projective invariant	11
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	8
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	7
Topology of toric gravitational instantons	7
Editorial Board	7
The geometry of line-symmetric rigid-body motions	7
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	7
The S-curvature of Finsler warped product metrics	6
CR-relatives Kähler manifolds	6
Toric generalized Kähler structures. I	5
Existence of conformal metrics with prescribed Q-curvature on manifolds	5
On dynamics of molecular media	5
Conformal Kaehler Euclidean submanifolds	5
Vector bundle automorphisms preserving Morse-Bott foliations	4
On P-reducibility of general (α,β)-metrics	4
Generalised spin structures on homogeneous spaces	4
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	4
On weakly Einstein submanifolds in space forms satisfying certain equalities	4
Collapsing to Alexandrov spaces with isolated mild singularities	4
A Reilly type integral formula and its applications	4
Gelfand duality for manifolds, and vector and other bundles	4
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	4

Multiplicative vector fields on bundle gerbes	4
Minimal hypersurfaces in	4
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4
Editorial Board	4
On conformal transformations preserving the Ricci tensor in Finsler geometry	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
Connection blocking in quotients of Sol	3
The manifold of polygons degenerated to segments	3
On the Godbillon-Vey invariant of transversely parallelizable foliations	3
Isoparametric hypersurfaces in conic Finsler manifolds	3
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	3
Editorial Board	3
Existence of a variational principle for PDEs with symmetries and current conservation	3
Differential invariants of curves in G2 flag varieties	3
Editorial Board	3
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. II	3
Conformal surface splines	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Convergence of the weighted Yamabe flow	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Geometric integration by parts and Lepage equivalents	2
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	2
Reversible Finsler metrics of constant flag curvature	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
Vortex-type equations on compact Riemann surfaces	2
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	2
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	2
Concentration on submanifolds of positively curved homogeneous spaces	2
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
The Atiyah class of generalized holomorphic vector bundles	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
Bavard's systolically extremal Klein bottles and three dimensional applications	2
Classification of conformal minimal immersions from S2 to G	2
The category of Z−<	2
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	2
Principal bundles in the category of Z	2
Some characterizations of Bach solitons via Ricci curvature	2
The isoparametric functions on a class of Finsler spheres	2
Riemannian exponential and quantization	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Orlicz harmonic version of dual mixed volumes	2
Editorial Board	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Torsion-free connections on G-structures	2

Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Bifurcations of robust features on surfaces in the Minkowski 3-space	2
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	2
A note on gradient Bach solitons	2
A note on the shifted Courant-Nijenhuis torsion	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
The energy density of biharmonic quadratic maps between spheres	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian manifolds	1
Geometry of cascade feedback linearizable control systems	1
On the integration of Manin pairs	1
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
Vector bundles on real abelian varieties	1
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	1
The nonexistence of gradient almost Ricci solitons warped product	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
Reductive homogeneous Lorentzian manifolds	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Non-lorentzian spacetimes	1
The maximal curves and heat flow in general-affine geometry	1
Deformations of cohesive modules on compact complex manifolds	1
The Brylinski beta function of a double layer	1
An interesting family of conformally invariant one-forms in even dimensions	1
A construction of G2-manifolds from K3 surfaces with a Z	1
Editorial Board	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
Geometry of cotangent bundle of Heisenberg group	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
Editorial Board	1
Modal fracture of higher groups	1
On a result of K. Okumura	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
Orbifolds as stratified diffeologies	1
Generalized Alexandrov theorems in spacetimes with integral conditions	1
Sprays of weakly isotropic curvature	1
Holomorphic projective connections on surfaces	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
Hodge decomposition of the Sobolev space H1 on a space form of nonpositive curvature	1
On the first eigenvalue of the Neumann problem	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures	1
On the geometry of conullity two manifolds	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Some geometric properties of normal and tangent submanifolds	1
Explicit pseudo-Kähler metrics on flag manifolds	1
A note on the Chern Conjecture in dimension four	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Editorial Board	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Bour's theorem for helicoidal surfaces with singularities	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
Banach Poisson–Lie groups, Lax equations and the AKS theorem in infinite dimensions	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
A class of new complete affine maximal type hypersurfaces	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
Structures of sympathetic Lie conformal superalgebras	1
Some modifications of Getzler's grading technique	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
The geometry of mixed-Euclidean metrics on symmetric positive definite matrices	1
Subgradient estimates for the equation Δ	1
Remarks on exact G2-structures on compact manifolds	1