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 2020-03-01 to 2024-03-01.)

Article	Citations
Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators	12
Remarks on scalar curvature of gradient Yamabe solitons with non-positive Ricci curvature	9
Fisher-Rao geometry of Dirichlet distributions	8
Statistical mirror symmetry	7
Continuum mechanics of media with inner structures	6
Graph immersions with parallel cubic form	6
The KdV soliton crosses a dissipative and dispersive border	6
Basic structures on derived critical loci	6
Non-lorentzian spacetimes	6
Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I	6
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
A note on Chern-Yamabe problem	5
Einstein hypersurfaces of the Cayley projective plane	5
Contravariant pseudo-Hessian manifolds and their associated Poisson structures	4
On the geometry of forms on supermanifolds	4
Tools to specify semi-simple Jordan triple systems	4
Some compactness theorems via m-Bakry–Émery and m-modified Ricci curvatures with negative m	4
On the pseudo-manifold of quantum states	4
Identifying Berwald Finsler geometries	4
Sasakian geometry on sphere bundles	3
Holonomy restrictions from the curvature operator of the second kind	3
Locally homogeneous aspherical Sasaki manifolds	3

Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index	3
Chen inequalities on spacelike hypersurfaces of a GRW spacetime	3
On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms	3
Dynamics and exact solutions of non-evolutionary partial differential equations	3
Rigidity of homogeneous gradient soliton metrics and related equations	3
Laplacian coflow for warped G2-structures	3
Dynamics and topology of conformally Anosov contact 3-manifolds	3
Length spectrum of complete simply connected Sasakian space forms	3
The isoparametric functions on a class of Finsler spheres	3
Transversal Killing operators on real hypersurfaces in nonflat complex space forms	3
Classification of Calabi hypersurfaces with parallel Fubini-Pick form	3
Convergence of the weighted Yamabe flow	3
The geometry of the secant caustic of a planar curve	3
S-curvature and E-curvature of invariant (α,β)-metric on homogeneous space	3
Isospectral deformation of the reduced quasi-classical self-dual Yang–Mills equation	3
On a class of projectively Ricci-flat Finsler metrics	3
On non-positively curved homogeneous Finsler metrics	3
Some L Liouville theorems on Finsler measure spaces	3
Vanishing theorems for p-harmonic ℓ-forms on Riemannian manifolds with a weighted Poincaré inequality	2
Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space	2
Austere and arid properties for PF submanifolds in Hilbert spaces	2
Conformal infinitesimal variations of submanifolds	2
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces	2
J-trajectories in Vaisman manifolds	2
Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein–Weyl structures and the Gibbons–Tsarev equation	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
A note on gradient Bach solitons	2
Involutive moving frames	2
Almost contact Riemannian three-manifolds with Reeb flow symmetry	2
Nodal solutions for a Paneitz-Branson type equation	2
On the classification of four-dimensional gradient Ricci solitons	2
General spherically symmetric Finsler metrics with constant Ricci and flag curvature	2
On the closure property of Lepage equivalents of Lagrangians	2
Nonassociative analogs of Lie groupoids	2
Newton's second law in field theory	2
The Alekseevskii conjecture in 9 and 10 dimensions	2
Almost paracomplex structures on 4-manifolds	2
Eigenvalue estimates of the p-Laplacian on finite graphs	2
Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure	2
Three approaches to chiral form interactions	2
Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds	2
Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications	2
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds	2
Gauss maps on canal hypersurfaces of generic curves in R	2
Dirac operators on real spinor bundles of complex type	2
Conformal Killing forms on nearly Kähler manifolds	2
Isoparametric hypersurfaces in conic Finsler manifolds	2
Real hypersurfaces inCP	2
Multiplicative vector fields on bundle gerbes	2

A note on L. Zhou's result on Finsler surfaces with K = 0 and J = 0	2
Maximal antipodal sets of E6 and some compact symmetric spaces	1
Concentration phenomena for fractional CR Yamabe type flows	1
On the growth rate of geodesic chords	1
The deformation L∞ algebra of a Dirac–Jacobi structure	1
On the cross curvature flow	1
Implicit contact dynamics and Hamilton-Jacobi theory	1
Deformations of Vaisman manifolds	1
Finsler warped product metrics with isotropic S-curvature	1
Isoparametric hypersurfaces in product spaces	1
The holonomy group of locally projectively flat Randers two-manifolds of constant curvature	1
Boundary conditions for the Sampson Laplacian	1
A family of MCF solutions for the Heisenberg group	1
Cartan geometries and multiplicative forms	1
Finsler metrics on surfaces admitting three projective vector fields	1
Some characterizations of Bach solitons via Ricci curvature	1
Classification of gradient shrinking Ricci solitons with bounded Ricci curvature	1
Erratum to: “Integral curvature bounds and bounded diameter with Bakry–Emery Ricci tensor” [Differ. Geom. Appl. 66 (2019) 42–51]	1
Representation formula for discrete indefinite affine spheres	1
Polar actions on Damek-Ricci spaces	1
Poisson cohomology of broken Lefschetz fibrations	1
A note on Griffiths' conjecture about the positivity of Chern–Weil forms	1
Existence and structure of symmetric Beltrami flows on compact 3-manifolds	1
Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations	1
On mean curvature flow of singular Riemannian foliations: Noncompact cases	1
On constant curvature submanifolds of space forms	1
Curvatures of strongly convex Kähler-Finsler manifolds	1
The geometry of mixed-Euclidean metrics on symmetric positive definite matrices	1
The nonexistence of gradient almost Ricci solitons warped product	1
Geometry and topology of manifolds with integral radial curvature bounds	1
Nonpositive curvature of the quantomorphism group and quasigeostrophic motion	1
The generalized unicorn problem in the almost regular Douglas (α,β)-spaces	1
H-type foliations	1
An extension of Asgeirsson's mean value theorem for solutions of the ultra-hyperbolic equation in dimension four	1
Complex affine distributions	1
Coverings and multivector pseudosymmetries of differential equations	1
Invariant spinors on homogeneous spheres	1
On symmetric Willmore surfaces in spheres II: The orientation reversing case	1
Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces II	1
On holonomy of Weyl connections in Lorentzian signature	1
A characterization of weakly Berwald spaces with (α,β)-metrics	1
The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups	1
m-Bakry–Émery Ricci curvatures, Riccati inequalities, and bounded diameters	1
Geometric integration by parts and Lepage equivalents	1
Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric	1
New existence results for prescribed mean curvature problem on balls under pinching conditions	1
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices	1
Notion of H-orientability for surfaces in the Heisenberg group	1
New explicit solutions to the p-Laplace equation based on isoparametric foliations	1
Hamilton inequality for unbounded Laplacians on graphs	1
Distributions of distances and volumes of balls in homogeneous lens spaces	1
On contact metric statistical manifolds	1
A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces	1
Curve shortening flow on Riemann surfaces with possible ambient conic singularities	1
The derivative of global surface-holonomy for a non-abelian gerbe	1
Quasi-Einstein manifolds with structure of warped product	1
Linear perturbations of metrics with holonomy Spin(7)	1
The moduli space of nonnegatively curved metrics on quotients of S2 × S3 by involutions	1
Conformal vector fields of projectively flat (α,β)-Finsler spaces	1
Orbifolds as stratified diffeologies	1
Automorphic Lie algebras and corresponding integrable systems	1
On Minkowskian product of Finsler manifolds	1
Symmetries, tensors, and the Horrocks bundle	1
On Randers geodesic orbit spaces	1
Asymptotically linear Dirac-harmonic maps into flat tori	1
A Schur type lemma for the mean Berwald curvature in Finsler geometry	1
Symmetries of analytic curves	1
Quasi-Einstein manifolds admitting a closed conformal vector field	1
The navigation problems on a class of conic Finsler manifolds	1
The Resurgence of L∞ structures in field theory	1