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 2021-05-01 to 2025-05-01.)

Article	Citations
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	17
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	11
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	8
Real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D	8
Topology of toric gravitational instantons	7
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	6
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	5
On the pseudo-manifold of quantum states	5
On non-positively curved homogeneous Finsler metrics	5
Editorial Board	5
Leibniz cohomology and connections on differentiable manifolds	4
The S-curvature of Finsler warped product metrics	4
On dynamics of molecular media	4
Gelfand duality for manifolds, and vector and other bundles	4
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4
Conformal Kaehler Euclidean submanifolds	4
Collapsing to Alexandrov spaces with isolated mild singularities	4
A Reilly type integral formula and its applications	4
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	4
Multiplicative vector fields on bundle gerbes	4
On P-reducibility of general (α,β)-metrics	4
Existence of conformal metrics with prescribed Q-curvature on manifolds	4
Editorial Board	3
Concentration phenomena for fractional CR Yamabe type flows	3
Differential invariants of curves in G2 flag varieties	3

Toric generalized Kähler structures. I	3
Editorial Board	3
On the Godbillon-Vey invariant of transversely parallelizable foliations	3
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
On weakly Einstein submanifolds in space forms satisfying certain equalities	3
CR-relatives Kähler manifolds	3
A note on L. Zhou's result on Finsler surfaces with K = 0 and J = 0	3
Existence of a variational principle for PDEs with symmetries and current conservation	3
Cones and Cartan geometry	3
Vector bundle automorphisms preserving Morse-Bott foliations	3
Bavard's systolically extremal Klein bottles and three dimensional applications	2
Geometric integration by parts and Lepage equivalents	2
Curvatures of strongly convex Kähler-Finsler manifolds	2
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Editorial Board	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Concentration on submanifolds of positively curved homogeneous spaces	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Rigidity theorem for compact Bach-flat manifolds with positive constant σ2	2
A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	2
Editorial Board	2
Isoparametric hypersurfaces in conic Finsler manifolds	2
The geometry of the secant caustic of a planar curve	2
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	2
The isoparametric functions on a class of Finsler spheres	2
The Atiyah class of generalized holomorphic vector bundles	2
Riemannian exponential and quantization	2
The category of Z−<	2
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	2
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Torsion-free connections on G-structures	2
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	2
Sasakian geometry on sphere bundles	2
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	2
Conformal surface splines	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Rigidity of homogeneous gradient soliton metrics and related equations	2
Reversible Finsler metrics of constant flag curvature	2
Convergence of the weighted Yamabe flow	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Editorial Board	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Vortex-type equations on compact Riemann surfaces	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
Geometric Schottky groups and non-compact hyperbolic surfaces with infinite genus	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1

Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	1
Orbifolds as stratified diffeologies	1
On holonomy of Weyl connections in Lorentzian signature	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
Subgradient estimates for the equation Δ	1
The Brylinski beta function of a double layer	1
Reductive homogeneous Lorentzian manifolds	1
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	1
On the geometry of conullity two manifolds	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
Some modifications of Getzler's grading technique	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
Sprays of weakly isotropic curvature	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
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
A note on gradient Bach solitons	1
On a result of K. Okumura	1
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
Actions with cohomogeneity zero or one on the de Sitter spaced	1
Geometry of cotangent bundle of Heisenberg group	1
Modal fracture of higher groups	1
Non-lorentzian spacetimes	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Editorial Board	1
Holomorphic projective connections on surfaces	1
Remarks on exact G2-structures on compact manifolds	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
Involutive moving frames II; The Lie-Tresse theorem	1
On the first eigenvalue of the Neumann problem	1
Existence and structure of symmetric Beltrami flows on compact 3-manifolds	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Some characterizations of Bach solitons via Ricci curvature	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
The maximal curves and heat flow in general-affine geometry	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
A note on the shifted Courant-Nijenhuis torsion	1
Editorial Board	1
Editorial Board	1
Vector bundles on real abelian varieties	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1