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 2021-06-01 to 2025-06-01.)

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	11
Editorial Board	8
New classes of Finsler metrics: The birth of new projective invariant	8
Real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D	7
Leibniz cohomology and connections on differentiable manifolds	7
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	6
Topology of toric gravitational instantons	6
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	5
On the pseudo-manifold of quantum states	5
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	5
Editorial Board	5
On non-positively curved homogeneous Finsler metrics	5
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
Multiplicative vector fields on bundle gerbes	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
The S-curvature of Finsler warped product metrics	4
Vector bundle automorphisms preserving Morse-Bott foliations	4

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

Some characterizations of Bach solitons via Ricci curvature	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Vortex-type equations on compact Riemann surfaces	1
Conformal surface splines	1
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	1
Geometry of cotangent bundle of Heisenberg group	1
Editorial Board	1
Vector bundles on real abelian varieties	1
Some modifications of Getzler's grading technique	1
Editorial Board	1
The maximal curves and heat flow in general-affine geometry	1
Editorial Board	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
The energy density of biharmonic quadratic maps between spheres	1
Reductive homogeneous Lorentzian manifolds	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
Subgradient estimates for the equation Δ	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1
Holomorphic projective connections on surfaces	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
The Brylinski beta function of a double layer	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
On the first eigenvalue of the Neumann problem	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
The nonexistence of gradient almost Ricci solitons warped product	1
On the geometry of conullity two manifolds	1
Modal fracture of higher groups	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
A note on the shifted Courant-Nijenhuis torsion	1
Involutive moving frames II; The Lie-Tresse theorem	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Non-lorentzian spacetimes	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
Sprays of weakly isotropic curvature	1
On holonomy of Weyl connections in Lorentzian signature	1
Actions with cohomogeneity zero or one on the de Sitter spaced	1
Orbifolds as stratified diffeologies	1
Geometric Schottky groups and non-compact hyperbolic surfaces with infinite genus	1
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	1
On the integration of Manin pairs	1
Some geometric properties of normal and tangent submanifolds	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Editorial Board	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Editorial Board	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Remarks on exact G2-structures on compact manifolds	1
Explicit pseudo-Kähler metrics on flag manifolds	1
A note on gradient Bach solitons	1
An interesting family of conformally invariant one-forms in even dimensions	1
Bour's theorem for helicoidal surfaces with singularities	1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1