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 2021-09-01 to 2025-09-01.)

Article	Citations
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	20
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	12
New classes of Finsler metrics: The birth of new projective invariant	11
Editorial Board	8
Real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D	7
Leibniz cohomology and connections on differentiable manifolds	6
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	6
Topology of toric gravitational instantons	6
On the pseudo-manifold of quantum states	5
On non-positively curved homogeneous Finsler metrics	5
Editorial Board	5
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	5
The geometry of line-symmetric rigid-body motions	4
The S-curvature of Finsler warped product metrics	4
Collapsing to Alexandrov spaces with isolated mild singularities	4
A Reilly type integral formula and its applications	4
CR-relatives Kähler manifolds	4
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4
On dynamics of molecular media	4
Multiplicative vector fields on bundle gerbes	4
Vector bundle automorphisms preserving Morse-Bott foliations	4
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	4
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	4
Conformal Kaehler Euclidean submanifolds	4
Existence of conformal metrics with prescribed Q-curvature on manifolds	4

Gelfand duality for manifolds, and vector and other bundles	4
Toric generalized Kähler structures. I	4
On P-reducibility of general (α,β)-metrics	4
Editorial Board	3
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	3
Existence of a variational principle for PDEs with symmetries and current conservation	3
On the Godbillon-Vey invariant of transversely parallelizable foliations	3
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	3
Differential invariants of curves in G2 flag varieties	3
On weakly Einstein submanifolds in space forms satisfying certain equalities	3
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	3
Isoparametric hypersurfaces in conic Finsler manifolds	3
The manifold of polygons degenerated to segments	3
Reversible Finsler metrics of constant flag curvature	3
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
Curvatures of strongly convex Kähler-Finsler manifolds	3
Concentration phenomena for fractional CR Yamabe type flows	3
Cones and Cartan geometry	3
Editorial Board	3
Rigidity theorem for compact Bach-flat manifolds with positive constant σ2	3
Conformal surface splines	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Convergence of the weighted Yamabe flow	2
Connection blocking in quotients of Sol	2
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2
Some characterizations of Bach solitons via Ricci curvature	2
Riemannian exponential and quantization	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
The isoparametric functions on a class of Finsler spheres	2
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
The geometry of the secant caustic of a planar curve	2
Torsion-free connections on G-structures	2
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
The Atiyah class of generalized holomorphic vector bundles	2
Existence and structure of symmetric Beltrami flows on compact 3-manifolds	2
Editorial Board	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
Concentration on submanifolds of positively curved homogeneous spaces	2
Orlicz harmonic version of dual mixed volumes	2
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
Bavard's systolically extremal Klein bottles and three dimensional applications	2

Geometric integration by parts and Lepage equivalents	2
The category of Z−<	2
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	2
Bour's theorem for helicoidal surfaces with singularities	1
Editorial Board	1
Editorial Board	1
Some geometric properties of normal and tangent submanifolds	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Editorial Board	1
Some modifications of Getzler's grading technique	1
Subgradient estimates for the equation Δ	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
The maximal curves and heat flow in general-affine geometry	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
The nonexistence of gradient almost Ricci solitons warped product	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
A construction of G2-manifolds from K3 surfaces with aZ	1
A note on gradient Bach solitons	1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
Generalized Alexandrov theorems in spacetimes with integral conditions	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	1
The Brylinski beta function of a double layer	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
Editorial Board	1
On the first eigenvalue of the Neumann problem	1
Reductive homogeneous Lorentzian manifolds	1
Editorial Board	1
Involutive moving frames II; The Lie-Tresse theorem	1
Orbifolds as stratified diffeologies	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Holomorphic projective connections on surfaces	1
Principal bundles in the category of Z	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1
Sprays of weakly isotropic curvature	1
Geometry of cotangent bundle of Heisenberg group	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian 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 geometry of conullity two manifolds	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
On the integration of Manin pairs	1
Non-lorentzian spacetimes	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
A note on the shifted Courant-Nijenhuis torsion	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Modal fracture of higher groups	1
Remarks on exact G2-structures on compact manifolds	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
An interesting family of conformally invariant one-forms in even dimensions	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
Vortex-type equations on compact Riemann surfaces	1
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	1