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 2021-07-01 to 2025-07-01.)

Article	Citations
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	19
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
Topology of toric gravitational instantons	6
Leibniz cohomology and connections on differentiable manifolds	6
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	5
Editorial Board	5
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	5
On the pseudo-manifold of quantum states	5
On non-positively curved homogeneous Finsler metrics	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
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	4
The S-curvature of Finsler warped product metrics	4
Multiplicative vector fields on bundle gerbes	4
A Reilly type integral formula and its applications	4
Collapsing to Alexandrov spaces with isolated mild singularities	4
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4
On dynamics of molecular media	4
On P-reducibility of general (α,β)-metrics	4
Vector bundle automorphisms preserving Morse-Bott foliations	4

A note on L. Zhou's result on Finsler surfaces with K = 0 and J = 0	3
Editorial Board	3
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	3
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
Isoparametric hypersurfaces in conic Finsler manifolds	3
Editorial Board	3
Curvatures of strongly convex Kähler-Finsler manifolds	3
The manifold of polygons degenerated to segments	3
Existence of a variational principle for PDEs with symmetries and current conservation	3
CR-relatives Kähler manifolds	3
On weakly Einstein submanifolds in space forms satisfying certain equalities	3
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	3
Concentration phenomena for fractional CR Yamabe type flows	3
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	3
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Geometric integration by parts and Lepage equivalents	2
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	2
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	2
Differential invariants of curves in G2 flag varieties	2
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Riemannian exponential and quantization	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Convergence of the weighted Yamabe flow	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Bavard's systolically extremal Klein bottles and three dimensional applications	2
On the Godbillon-Vey invariant of transversely parallelizable foliations	2
Editorial Board	2
The geometry of the secant caustic of a planar curve	2
Torsion-free connections on G-structures	2
Editorial Board	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Concentration on submanifolds of positively curved homogeneous spaces	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Connection blocking in quotients of Sol	2
Sasakian geometry on sphere bundles	2
Reversible Finsler metrics of constant flag curvature	2
Cones and Cartan geometry	2
Rigidity theorem for compact Bach-flat manifolds with positive constant σ2	2
The category of Z−<	2
The isoparametric functions on a class of Finsler spheres	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
The Atiyah class of generalized holomorphic vector bundles	2
The Brylinski beta function of a double layer	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1

Editorial Board	1
A note on gradient Bach solitons	1
Some modifications of Getzler's grading technique	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
Remarks on exact G2-structures on compact manifolds	1
On the first eigenvalue of the Neumann problem	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
Vortex-type equations on compact Riemann surfaces	1
Conformal surface splines	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index	1
Orbifolds as stratified diffeologies	1
Some characterizations of Bach solitons via Ricci curvature	1
Editorial Board	1
Bour's theorem for helicoidal surfaces with singularities	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
Non-lorentzian spacetimes	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
A construction of G2-manifolds from K3 surfaces with aZ	1
On the integration of Manin pairs	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
An interesting family of conformally invariant one-forms in even dimensions	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1
Holomorphic projective connections on surfaces	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
Reductive homogeneous Lorentzian manifolds	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
A note on the shifted Courant-Nijenhuis torsion	1
Editorial Board	1
Subgradient estimates for the equation Δ	1
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	1
Editorial Board	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Involutive moving frames II; The Lie-Tresse theorem	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
The maximal curves and heat flow in general-affine geometry	1
Actions with cohomogeneity zero or one on the de Sitter spaced	1
Sprays of weakly isotropic curvature	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Existence and structure of symmetric Beltrami flows on compact 3-manifolds	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
Geometry of cotangent bundle of Heisenberg group	1
Modal fracture of higher groups	1
On the geometry of conullity two manifolds	1