Orbifold biquotients of SU(3)SU(3)
Keywords: 53C20; 57R18Biquotients; Orbifolds; Positive curvature
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The Calderón–Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
Keywords: 53C20; 46E35; 58J50Global Calderón–Zygmund inequality; Sobolev spaces; Noncompact Riemannian manifold
Diameter estimate of the manifolds with positive Ricci curvature and reverse volume pinching
Keywords: 53C20; 53C23; 53C24; k-th Ricci curvature; Hausdorff convergence; Diameter;
Eigenvalues of the Tachibana operator which acts on differential forms
Keywords: 53C20; 53C21; 53C24; Riemannian manifold; Natural elliptic second order linear differential operators on differential forms; Eigenvalues; Eigenforms;
Two rigidity theorems for fully nonlinear equations
Keywords: 53C21; 53C20; Liouville Theorem; Fully nonlinear equation; Locally conformally flat;
Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field
Keywords: 53C20; 53C25; 53D10; Energy and volume; Reeb vector fields; Hopf vector fields; Stability; Sasakian space forms; 3-Sasakian manifolds;
Curvature identities derived from the integral formula for the first Pontrjagin number
Keywords: 53B20; 53C20; Euh-Park-Sekigawa identity; First Pontrjagin number; Almost Hermitian surface; Kähler surface;
Torse forming vector fields and exterior concurrent vector fields on Riemannian manifolds and applications
Keywords: 53C20; 53C12; 53C25Torse forming vector field; Exterior concurrent vector field; Quasi-exterior concurrent vector field; Sasakian manifold; Kenmotsu manifold
Pinching theorems for compact spacelike submanifolds in semi-Riemannian space forms
Keywords: 53C20; 53C42; 53C40; Spacelike submanifold; Mean curvature vector; Squared norm of second fundamental form;
Betti and Tachibana numbers of compact Riemannian manifolds
Keywords: 53C20; 53C21; 53C24Riemannian manifold; Differential forms; Elliptic second order linear differential operators on differential forms; Betti numbers; Tachibana numbers
Minimal unit vector fields with respect to Riemannian natural metrics
Keywords: primary; 53C20; 58E15; secondary; 53C25; 53C42; Riemannian natural metrics; Volume of vector fields; Critical points; Minimal vector fields; Minimal submanifolds; Killing vector fields; Hopf vector fields; Reeb vector fields;
On almost complex curves in the nearly Kaehler six-sphere
Keywords: 53C20; 53C42Nearly Kaehler structure; Superminimal; Superconformal; Harmonic sequence
On the topology of G-manifolds with finitely many non-principal orbits
Keywords: 57S15; 53C20; G-manifold; Cohomogeneity; Non-principal orbits;
Geometrical and physical characteristics of a class of conformal mappings
Keywords: 53C20; 53D11; Conformal metrics; Generalized quasi-Einstein metrics; ξ,η-quasi concircular mapping; Generalized quasi-umbilical hypersurfaces;
Characterizations of Einstein manifolds and odd-dimensional spheres
Keywords: 53C20; 53B21Killing vector fields; Conformally flat manifolds; Ricci curvature; Einstein manifolds
Partial immersions and partially free maps
Keywords: 58A30; 58J60; 53C12; 53C20; 37J35; 53D17Partially isometric immersions; Partially free maps; Distributions; Completely integrable systems; Poisson manifolds
Tangent cut loci on surfaces
Keywords: 53C20; 53C22Riemannian manifolds; Injectivity domains; Cut locus; Semiconcave functions
A sphere theorem for pinching positive scalar curvature manifolds
Keywords: 53C20; 53C21; 53C24Positive scalar curvature; Sphere theorem; Rigidity; Mean curvature
Generalized duality for kk-forms
Keywords: 53C20; 15A90; 53C27Generalized duality; Eigenspace decomposition; Irreducible representation; Invariant differential form
Manifolds of low cohomogeneity and positive Ricci curvature
Keywords: 53C20; 57S15Asystatic actions; Cohomogeneity; Group actions; Positive Ricci curvature; Three-manifolds
Normalization and prescribed extrinsic scalar curvature on lightlike hypersurfaces
Keywords: 53C20; 53B30; 53B50Lightlike hypersurface; Normalization; Extrinsic scalar curvature
Volume growth and the topology of pointed Gromov-Hausdorff limits
Keywords: 53C20; 53C23; Nonnegative Ricci curvature; Pointed Gromov-Hausdorff limits; Volume growth; Homotopy groups;
Stability of unit Hopf vector fields on quotients of spheres
Keywords: 53C20; Volume; Hopf vector field; Stability; Hessian; Space form;
Classification of pinched positive scalar curvature manifolds
Keywords: 53C20; 53C21; 53C24Positive scalar curvature; Sphere theorem; Rigidity
Some Einstein homogeneous Riemannian fibrations
Keywords: 53C25; 53C30; 53C20; 53C35Einstein metrics; Homogeneous space; Fibration; Totally geodesic
Notes on the Jacobi equation
Keywords: 53C20; 34C10Jacobi fields; Conjugate points; Focal points; Index
Semianalyticity of isoperimetric profiles
Keywords: 53C20; 49Q20; 14P15; 32B20Isoperimetric inequality; Riemann surface; Calibration; Morse theory
Surgery, Yamabe invariant, and Seiberg–Witten theory
Keywords: 53C20; 58E11; 57R65Surgery; Yamabe invariant; Seiberg–Witten theory
Jacobi osculating rank and isotropic geodesics on naturally reductive 3-manifolds
Keywords: 53C20; 53C30; 53C22; Jacobi osculating rank; Isotropic geodesic; Isotropic conjugate point; Homogeneous structure;
Characterizing the round sphere by mean distance
Keywords: 51K99; 53C20; 31C99; Metric invariants; Extent; Rendezvous number; Mean distance; Potential; Curvature;
Biharmonic maps, conformal deformations and the Hopf maps
Keywords: 58E20; 53C20; Biharmonic and harmonic maps; Semi-conformal maps;
Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues
Keywords: 53C50; 53C20; 53C25Pseudo-Riemannian manifolds; Ricci eigenvalues; Curvature homogeneity
Stability numbers in K-contact manifolds
Keywords: 53C43; 53C25; 53C20; 58E15; 58E20Energy; Volume; Characteristic vector field; K-contact manifold; Hopf vector fields; Berger spheres
On scalar curvature in lightlike geometry
Keywords: 53C20; 53C50; 53B50Differential geometry; General relativityDegenerate metric; Riemannian screen distribution; Scalar curvature
A remark on renormalized volume and Euler characteristic for ache 4-manifolds
Keywords: 53C20; 53C25; 53C55Asymptotically complex hyperbolic Einstein metrics; Euler characteristic; Renormalized volume
Extrinsic radius pinching for hypersurfaces of space forms
Keywords: 53A07; 53C20; 53C21Extrinsic radius; Pinching; Hypersurfaces; Space forms
Describing the universal cover of a compact limit
Keywords: primary; 53C20; Universal cover; Equivariant Gromov-Hausdorff convergence; Fundamental group;
Surgery and equivariant Yamabe invariant
Keywords: 53C20; 58E40; 57R65Yamabe invariant; Scalar curvature; Surgery; Conformal; Equivariant
Holomorphic helix of proper order 3 on a complex hyperbolic plane
Keywords: 53C35; 53C20; Holomorphic helix; Complex hyperbolic plane; Unbounded;
On prescribing geodesic curvature on D2
Keywords: 53C20; 58G03; Geodesic curvature; Minimax principle;
The mapping properties of filling radius and packing radius and their applications
Keywords: 53C23; 53C20; Filling radius; Dilatation; Injectivity radius; Packing radius;
The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature
Keywords: 53C20; 53C21; 57R70; 31C12; Gagliardo-Nirenberg inequalities; Open manifolds; Non-negative Ricci curvature;
Rigidity theorems for closed hypersurfaces in a unit sphere
Keywords: 53C20; 53C42; 02.40.H, M; 02.40.K; Riemannian geometry; Rigidity; Hypersurfaces; Sphere;
Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds
Keywords: 53C50; 53C20; Volume comparison; Jacobi fields; Scalar curvature invariants;
Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen
Keywords: 53C20; 53C50; 83C40; Differential geometry; Lorentzian geometry; General relativity; Lightlike hypersurface; Null geodesic; Screen distribution;
Spinc-structures and Dirac operators on contact manifolds
Keywords: 32V05; 53C20; 53C25; 53C27; 53D10; Contact metric manifold; Spinc-structure; Tanaka-Webster connection; Dirac operator; Vanishing theorems;
Dressing preserving the fundamental group
Keywords: primary; 53A10; secondary; 53C20; Dressing; Constant mean curvature surfaces; Generalized Weierstraà representation;