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 2021-11-01 to 2025-11-01.)

Article	Citations
Time-optimal solutions of Zermelo's navigation problem with moving obstacles	24
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	12
Editorial Board	11
New classes of Finsler metrics: The birth of new projective invariant	9
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	7
Topology of toric gravitational instantons	7
The geometry of line-symmetric rigid-body motions	7
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	6
Leibniz cohomology and connections on differentiable manifolds	6
Editorial Board	6
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	6
On non-positively curved homogeneous Finsler metrics	6
Collapsing to Alexandrov spaces with isolated mild singularities	5
CR-relatives Kähler manifolds	5
On P-reducibility of general (α,β)-metrics	5
Existence of conformal metrics with prescribed Q-curvature on manifolds	5
On dynamics of molecular media	4
Gelfand duality for manifolds, and vector and other bundles	4
Editorial Board	4
On weakly Einstein submanifolds in space forms satisfying certain equalities	4
Multiplicative vector fields on bundle gerbes	4
Vector bundle automorphisms preserving Morse-Bott foliations	4
Toric generalized Kähler structures. I	4
A Reilly type integral formula and its applications	4
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4

A Souplet–Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian	4
The S-curvature of Finsler warped product metrics	4
Conformal Kaehler Euclidean submanifolds	4
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	4
Editorial Board	4
The manifold of polygons degenerated to segments	4
On conformal transformations preserving the Ricci tensor in Finsler geometry	3
Covariant Schrödinger operator and L2-vanishing property on Riemannian manifolds	3
Rigidity theorem for compact Bach-flat manifolds with positive constant σ2	3
Editorial Board	3
Isoparametric hypersurfaces in conic Finsler manifolds	3
Curvatures of strongly convex Kähler-Finsler manifolds	3
On the Godbillon-Vey invariant of transversely parallelizable foliations	3
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	3
Torsion-free connections on G-structures	3
Existence of a variational principle for PDEs with symmetries and current conservation	3
Differential invariants of curves in G2 flag varieties	3
Connection blocking in quotients of Sol	3
Reversible Finsler metrics of constant flag curvature	3
Geometric integration by parts and Lepage equivalents	3
Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds	3
Concentration phenomena for fractional CR Yamabe type flows	3
Rigidity of homogeneous gradient soliton metrics and related equations	2
The category of Z−<	2
Prolongations, invariants, and fundamental identities of geometric structures	2
Vanishing theorems for p-harmonic forms on Riemannian manifolds	2
Banach orbifold structure on groupoids of morphisms of orbifolds	2
Principal bundles in the category of Z	2
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank	2
The isoparametric functions on a class of Finsler spheres	2
The Atiyah class of generalized holomorphic vector bundles	2
Orlicz harmonic version of dual mixed volumes	2
Hausdorff limits of submanifolds of symplectic and contact manifolds	2
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds	2
Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold	2
Gromoll–Meyer's actions and the geometry of (exotic) spacetimes	2
Concentration on submanifolds of positively curved homogeneous spaces	2
Editorial Board	2
A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold	2
Actions with cohomogeneity zero or one on the de Sitter spaced	2
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	2
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	2
Convergence of the weighted Yamabe flow	2
Bavard's systolically extremal Klein bottles and three dimensional applications	2
Some results on Kenmotsu and Sasakian statistical manifolds	2
A Hamilton-Souplet-Zhang type gradient estimate for a class of parabolic equations on Finsler manifolds	2
The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles	2
Generalized Alexandrov theorems in spacetimes with integral conditions	2
Conformal surface splines	2
Some characterizations of Bach solitons via Ricci curvature	2

Riemannian exponential and quantization	2
Left-invariant pseudo-Riemannian metrics on Lie groups: The null cone	2
Editorial Board	1
A note on the Chern Conjecture in dimension four	1
On the first eigenvalue of the Neumann problem	1
Vector bundles on real abelian varieties	1
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound	1
The energy density of biharmonic quadratic maps between spheres	1
Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure	1
On a result of K. Okumura	1
Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space	1
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	1
Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition	1
An interesting family of conformally invariant one-forms in even dimensions	1
A note on gradient Bach solitons	1
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	1
Sasakian geometry on sphere bundles II: Constant scalar curvature	1
Vortex-type equations on compact Riemann surfaces	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
On the geometry of conullity two manifolds	1
Reductive homogeneous Lorentzian manifolds	1
On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes	1
The maximal curves and heat flow in general-affine geometry	1
Singularities of discrete indefinite affine minimal surfaces	1
A note on the shifted Courant-Nijenhuis torsion	1
Structures of sympathetic Lie conformal superalgebras	1
On the integration of Manin pairs	1
Editorial Board	1
Modal fracture of higher groups	1
Some geometric properties of normal and tangent submanifolds	1
Pseudo-Kähler and hypersymplectic structures on semidirect products	1
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	1
Rotationally invariant translators of the mean curvature flow in Einstein's static universe	1
A construction of G2-manifolds from K3 surfaces with a Z	1
Hua operators on homogeneous line bundles over non-tube type bounded symmetric domains	1
Holomorphic projective connections on surfaces	1
On projective invariants of general spherically symmetric Finsler spaces in 1
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism	1
The nonexistence of gradient almost Ricci solitons warped product	1
Hamilton Lie algebroids over Dirac structures and sigma models	1
Explicit pseudo-Kähler metrics on flag manifolds	1
Curvature pinching for three-dimensional submanifolds in a Riemannian manifold	1
Geometry of cotangent bundle of Heisenberg group	1
Editorial Board	1
The Brylinski beta function of a double layer	1
Entire translating graphs in weighted product spaces: Rigidity and nonexistence results	1
Involutive moving frames II; The Lie-Tresse theorem	1
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant	1
Subgradient estimates for the equation Δ	1
Editorial Board	1
Bifurcations of robust features on surfaces in the Minkowski 3-space	1
The geometry of mixed-Euclidean metrics on symmetric positive definite matrices	1
Orbifolds as stratified diffeologies	1
Geometry of cascade feedback linearizable control systems	1
Sprays of weakly isotropic curvature	1
Non-lorentzian spacetimes	1
Real hypersurfaces of nonflat complex space forms with weakly transversal Killing operators	1
Constraint vector bundles and reduction of Lie (bi-)algebroids	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
Remarks on exact G2-structures on compact manifolds	1
The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition	1
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	1
Some vanishing theorems for p-harmonic l-forms on complete Riemannian manifolds	1
Bour's theorem for helicoidal surfaces with singularities	1
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations	1
Diameter estimates for submanifolds in manifolds with nonnegative curvature	1
H-type foliations	1
Some modifications of Getzler's grading technique	1
Addendum to: “Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I” [Differ. Geom. Appl. 73 (2020) 101682]	1