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 2021-08-01 to 2025-08-01.)

Article	Citations
First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow	20
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
Leibniz cohomology and connections on differentiable manifolds	6
Topology of toric gravitational instantons	6
On the pseudo-manifold of quantum states	5
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	5
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	5
On non-positively curved homogeneous Finsler metrics	5
The Sasakian statistical structures of constant ϕ-sectional curvature on Sasakian space forms	5
Editorial Board	5
A note on L. Zhou's result on Finsler surfaces with K = 0 and J = 0	4
The S-curvature of Finsler warped product metrics	4
On P-reducibility of general (α,β)-metrics	4
Vector bundle automorphisms preserving Morse-Bott foliations	4
Existence and density results of conformal metrics with prescribed higher order Q-curvature on	4
A Reilly type integral formula and its applications	4
Conformal vector fields of projectively flat (α,β)-Finsler spaces	4
On dynamics of molecular media	4
Gelfand duality for manifolds, and vector and other bundles	4
Toric generalized Kähler structures. I	4
Multiplicative vector fields on bundle gerbes	4
Conformal Kaehler Euclidean submanifolds	4

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

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