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 2020-05-01 to 2024-05-01.)

Article	Citations
Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators	13
Remarks on scalar curvature of gradient Yamabe solitons with non-positive Ricci curvature	10
Non-lorentzian spacetimes	8
Fisher-Rao geometry of Dirichlet distributions	8
Continuum mechanics of media with inner structures	8
Statistical mirror symmetry	7
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	7
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I	7
The KdV soliton crosses a dissipative and dispersive border	7
Basic structures on derived critical loci	6
Graph immersions with parallel cubic form	6
Three approaches to chiral form interactions	6
Classification of Calabi hypersurfaces with parallel Fubini-Pick form	5
Homogeneous Hamiltonian operators and the theory of coverings	5
On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kähler 5
Surfaces with zero mean curvature vector in neutral 4-manifolds	5
A circle quotient of a G2 cone	5
Isospectral deformation of the reduced quasi-classical self-dual Yang–Mills equation	5
Holonomy restrictions from the curvature operator of the second kind	4
J-trajectories in Vaisman manifolds	4
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	4
Rigidity of homogeneous gradient soliton metrics and related equations	4
On the geometry of forms on supermanifolds	4
Contravariant pseudo-Hessian manifolds and their associated Poisson structures	4
On the pseudo-manifold of quantum states	4

Identifying Berwald Finsler geometries	4
Some compactness theorems via m-Bakry–Émery and m-modified Ricci curvatures with negative m	4
Tools to specify semi-simple Jordan triple systems	4
Some L Liouville theorems on Finsler measure spaces	4
Sasakian geometry on sphere bundles	3
S-curvature and E-curvature of invariant (α,β)-metric on homogeneous space	3
A note on gradient Bach solitons	3
On a class of projectively Ricci-flat Finsler metrics	3
Almost contact Riemannian three-manifolds with Reeb flow symmetry	3
Dynamics and exact solutions of non-evolutionary partial differential equations	3
The geometry of the secant caustic of a planar curve	3
Locally homogeneous aspherical Sasaki manifolds	3
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index	3
Length spectrum of complete simply connected Sasakian space forms	3
Transversal Killing operators on real hypersurfaces in nonflat complex space forms	3
Convergence of the weighted Yamabe flow	3
Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein–Weyl structures and the Gibbons–Tsarev equation	3
Dynamics and topology of conformally Anosov contact 3-manifolds	3
The isoparametric functions on a class of Finsler spheres	3
On non-positively curved homogeneous Finsler metrics	3
On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms	3
A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces	2
On the classification of four-dimensional gradient Ricci solitons	2
Nonassociative analogs of Lie groupoids	2
Symmetries, tensors, and the Horrocks bundle	2
The Alekseevskii conjecture in 9 and 10 dimensions	2
Real hypersurfaces inCP	2
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	2
Vanishing theorems for p-harmonic ℓ-forms on Riemannian manifolds with a weighted Poincaré inequality	2
Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications	2
On the cross curvature flow	2
Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds	2
Conformal infinitesimal variations of submanifolds	2
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	2
Dirac operators on real spinor bundles of complex type	2
Isoparametric hypersurfaces in conic Finsler manifolds	2
Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density	2
Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry	2
Multiplicative vector fields on bundle gerbes	2
Some characterizations of Bach solitons via Ricci curvature	2
On contact metric statistical manifolds	2
Nodal solutions for a Paneitz-Branson type equation	2
Gauss maps on canal hypersurfaces of generic curves in R	2
On the closure property of Lepage equivalents of Lagrangians	2
Newton's second law in field theory	2
Conformal Killing forms on nearly Kähler manifolds	2
Almost paracomplex structures on 4-manifolds	2
Eigenvalue estimates of the p-Laplacian on finite graphs	2
A note on L. Zhou's result on Finsler surfaces with K = 0 and J = 0	2
General spherically symmetric Finsler metrics with constant Ricci and flag curvature	2

The geometry of mixed-Euclidean metrics on symmetric positive definite matrices	2
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	2
Concentration phenomena for fractional CR Yamabe type flows	1
Notion of H-orientability for surfaces in the Heisenberg group	1
The deformation L∞ algebra of a Dirac–Jacobi structure	1
Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Deformations of Vaisman manifolds	1
Boundary conditions for the Sampson Laplacian	1
Linear perturbations of metrics with holonomy Spin(7)	1
Cartan geometries and multiplicative forms	1
Conformal vector fields of projectively flat (α,β)-Finsler spaces	1
Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces II	1
Characterization of Gromov-type geodesics	1
Erratum to: “Integral curvature bounds and bounded diameter with Bakry–Emery Ricci tensor” [Differ. Geom. Appl. 66 (2019) 42–51]	1
Asymptotically linear Dirac-harmonic maps into flat tori	1
Invariant spinors on homogeneous spheres	1
Symmetries of analytic curves	1
Hamilton inequality for unbounded Laplacians on graphs	1
Curvatures of strongly convex Kähler-Finsler manifolds	1
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	1
Implicit contact dynamics and Hamilton-Jacobi theory	1
The navigation problems on a class of conic Finsler manifolds	1
Finsler warped product metrics with isotropic S-curvature	1
Quasi-Einstein manifolds with structure of warped product	1
New explicit solutions to the p-Laplace equation based on isoparametric foliations	1
Poisson cohomology of broken Lefschetz fibrations	1
Geometry and topology of manifolds with integral radial curvature bounds	1
An extension of Asgeirsson's mean value theorem for solutions of the ultra-hyperbolic equation in dimension four	1
Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric	1
A family of MCF solutions for the Heisenberg group	1
Automorphic Lie algebras and corresponding integrable systems	1
The holonomy group of locally projectively flat Randers two-manifolds of constant curvature	1
Orbifolds as stratified diffeologies	1
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz	1
Rigidity theorem for compact Bach-flat manifolds with positive constant σ2	1
On Minkowskian product of Finsler manifolds	1
A characterization of weakly Berwald spaces with (α,β)-metrics	1
Polar actions on Damek-Ricci spaces	1
On constant curvature submanifolds of space forms	1
Polynomial structures in generalized geometry	1
On holonomy of Weyl connections in Lorentzian signature	1
A zoo of translating solitons on a parallel light-like direction in Minkowski 3-space	1
On the growth rate of geodesic chords	1
Maximal antipodal sets of E6 and some compact symmetric spaces	1
On mean curvature flow of singular Riemannian foliations: Noncompact cases	1
Nonpositive curvature of the quantomorphism group and quasigeostrophic motion	1
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	1
Distributions of distances and volumes of balls in homogeneous lens spaces	1
The nonexistence of gradient almost Ricci solitons warped product	1
H-type foliations	1
Isoparametric hypersurfaces in product spaces	1
The moduli space of nonnegatively curved metrics on quotients of S2 × S3 by involutions	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
Coverings and multivector pseudosymmetries of differential equations	1
Complex affine distributions	1
On Randers geodesic orbit spaces	1
Leibniz cohomology and connections on differentiable manifolds	1
Classification of gradient shrinking Ricci solitons with bounded Ricci curvature	1
The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups	1
Geometric integration by parts and Lepage equivalents	1
The Resurgence of L∞ structures in field theory	1
New existence results for prescribed mean curvature problem on balls under pinching conditions	1
Existence and structure of symmetric Beltrami flows on compact 3-manifolds	1
A note on Griffiths' conjecture about the positivity of Chern–Weil forms	1
The derivative of global surface-holonomy for a non-abelian gerbe	1
Quasi-Einstein manifolds admitting a closed conformal vector field	1