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
Real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D	8
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	8
Topology of toric gravitational instantons	7
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	6
On non-positively curved homogeneous Finsler metrics	5
Editorial Board	5
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	5
On the pseudo-manifold of quantum states	5
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
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
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
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
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
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
A note on the shifted Courant-Nijenhuis torsion	1
Editorial Board	1
An interesting family of conformally invariant one-forms in even dimensions	1
Vector bundles on real abelian varieties	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1

On a result of K. Okumura	1
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
Editorial Board	1
Geometry of cotangent bundle of Heisenberg group	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Non-lorentzian spacetimes	1
Vortex-type equations on compact Riemann surfaces	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Geometric Schottky groups and non-compact hyperbolic surfaces with infinite genus	1
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	1
On holonomy of Weyl connections in Lorentzian signature	1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
The Brylinski beta function of a double layer	1
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
On the geometry of conullity two manifolds	1
The nonexistence of gradient almost Ricci solitons warped product	1
On projective invariants of general spherically symmetric Finsler spaces in 1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
Some modifications of Getzler's grading technique	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Sprays of weakly isotropic curvature	1
Editorial Board	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
A note on gradient Bach solitons	1
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index	1
Actions with cohomogeneity zero or one on the de Sitter spaced	1
Modal fracture of higher groups	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Editorial Board	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
Holomorphic projective connections on surfaces	1
Remarks on exact G2-structures on compact manifolds	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
Orbifolds as stratified diffeologies	1
Involutive moving frames II; The Lie-Tresse theorem	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
Subgradient estimates for the equation Δ	1
Existence and structure of symmetric Beltrami flows on compact 3-manifolds	1
Reductive homogeneous Lorentzian manifolds	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
Some characterizations of Bach solitons via Ricci curvature	1
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	1
The maximal curves and heat flow in general-affine geometry	1