Keywords: 53C22; 53C30; 53C60; Homogeneous Finsler spaces; Homogeneous geodesics; Geodesic vectors;
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Keywords: primary; 53C44; secondary; 53C21; 53C30; Bach tensor; Soliton; Geometric flow;
Keywords: 17B30; 22E25; 53C30; Nilmanifolds; Nilpotent metric Lie algebras; Filiform Lie algebras; Framed metric Lie algebras;
Keywords: 32Q99; 53C30; 22E25; Nilmanifold; Algebraic dimension; Holomorphic differential;
Keywords: 17B40; 53C15; 53C30;
Keywords: 53C25; 53C35; 53C30; Compact semisimple Lie groups; Einstein metrics; Naturally reductive metrics; Standard homogeneous Einstein manifolds;
Keywords: 53C15; 53C25; 53C30; (Conformal) Killing-Yano forms; Parallel tensors;
Keywords: primary; 53C40; secondary; 53C30; 53C25; 53C35; Contact metric manifolds; Ricci soliton; Real hypersurfaces; Grassmannians;
Keywords: 53C10; 53C30; 53C50; Homogeneous geodesics; G.o. spaces; G.o. manifolds; Naturally reductive spaces;
Keywords: 53C30; 35R03; 35B15; Beam equations; Compact Lie groups; Multiplicative potential; Quasi-periodic solutions; Nash-Moser iteration;
Keywords: 22E46; 53C30; Finsler metric; Flag curvature; Flag-wise positively curved condition; Left invariant metric; Killing navigation;
Keywords: primary; 53C30; secondary; 17B30; 53C50; 22E25; 57S20;
Keywords: primary; 53C42; secondary; 53C30; Lie groups; Bi-invariant metrics; Lorentzian groups; Bernstein-type problems; Constant mean curvature;
Keywords: 53C25; 53C30; 17B20; Left-invariant Einstein metrics; Naturally reductive metrics; Exceptional Lie groups; Flag manifolds;
Keywords: 53C30; 53C25; 22E25; 57S20Geodesic flow; Nilmanifolds; First integrals; Integrability; Lie groups; Heisenberg Lie group
Keywords: contact magnetic field; magnetic curve; cosymplectic manifold53C15; 53C25; 53C30; 37J45; 53C80
Keywords: 53C10; 53C15; 53C29; 53C30; 58D19; 58J70Homogeneous parabolic geometries; Generalized symmetries; Holonomy reductions; Correspondence and twistor spaces; Invariant distributions; Invariant Weyl connections
Keywords: primary; 53C40; secondary; 53C30; Naturally reductive Riemannian homogeneous spaces; Geodesic orbit spaces; Homogeneous real hypersurfaces; Nonflat complex space forms; Sectional curvatures; Hypersurfaces of type (A);
Keywords: 53C30; 53C50; Lorentz geometry; Isometry groups; Twisted Heisenberg group; Homogeneous Lorentz spaces; Ricci curvature;
Keywords: 53C30; 53C50Homogeneous spaces; Naturally reductive; Pseudo-Riemannian spaces
Keywords: 53C30; 57S25; Cohomogeneity one; Anti de Sitter space;
Keywords: primary; 22E40; 53A15; 53D20; secondary; 53C30; Lattices; Symplectic Lie groups; Affine Lie groups; Compact nilmanifolds;
Keywords: 53C21; 53C30; 53C60Finsler g.o. spaces; Nilmanifolds; Randers metrics
Keywords: 53A15; 53C30; 53C42Quasi-umbilical; Homogeneous affine hypersurfaces; Locally strongly convex
Keywords: 53C30; 55N91; 57S15
Keywords: 22E99; 53C30; 53C50Lie groups; Degenerate metrics; Homogeneous spaces
Keywords: 53C21; 53C30; 53C60Finsler space; (α,β)(α,β)-metric; Ricci curvature
On generalized G2-structures and T-duality
Keywords: 53C30; 22E25; 17B01; 81T30; 53D18; T-duality; Generalized G2-structure; Solvable Lie algebra;
Homogeneous Einstein-Randers metrics on some Stiefel manifolds
Keywords: 53C25; 53C30; Stiefel manifolds; Einstein-Randers metrics; Homogeneous manifolds;
Cayley transform on Stiefel manifolds
Keywords: 53C30; 15A16; 55M30; Stiefel manifold; Cayley transform; Lusternik-Schnirelmann category; Optimization;
Backward uniqueness for the conformal Ricci flow
Keywords: 53C44; 53C30; Conformal Ricci flow; Backward uniqueness;
Biharmonic constant mean curvature surfaces in Killing submersions
Keywords: 53C30; 58E20; 14M17; Biharmonic surfaces; Constant mean curvature; Killing submersions;
On the geometry of para-hypercomplex 4-dimensional Lie groups
Keywords: 53C30; 53C50; Para-hypercomplex Lie groups; Generalized Ricci solitons; Homogeneous structures; Totally geodesic hypersurfaces;
Einstein with skew-torsion connections on Berger spheres
Keywords: primary; 53C30; secondary; 53C05; 53C25; 53C20; Berger spheres; invariant connections; Einstein with skew-torsion connections;
The topological matter of holonomy displacement on the principal U(n)-bundle over Dn,m, related to complex surfaces
Keywords: 53C29; 53C30; 53C35; 52A38; Holonomy displacement; Area form; Riemannian submersion; Complex surface; Complete totally geodesic submanifold; Grassmannian manifold;
Classification of homogeneous almost α-coKähler three-manifolds
Keywords: 53D15; 53C30; 53C12; 53C25; Three-manifolds; Almost-cosymplectic structures; Almost coKähler structures; Almost α-Kenmotsu structures; Left invariant almost contact metric structure; Foliation;
Cylinders as left invariant CMC surfaces in Sol3 and E(κ,Ï)-spaces diffeomorphic to R3
Keywords: primary; 53A10; secondary; 53C22; 53C30; Differential geometry; Invariant surfaces; Constant mean curvature; Homogeneous three-manifolds; Geodesics;
Riemannian g.o. metrics in certain M-spaces
Keywords: primary; 53C25; secondary; 53C30; M-space; Generalized flag manifold; Homogeneous geodesic; g.o. metric; g.o. space; Isotropy representation;
New Einstein metrics on E7
Keywords: 22E46; 53C30; Einstein metric; Generalized Wallach space; Involution; Naturally reductive metric;
Homogeneous Einstein (α,β)-metrics on compact simple Lie groups and spheres
Keywords: 53C21; 53C30; 53C60; Finsler space; (α,β)-metric; Einstein (α,β)-metric;
Invariant Einstein metrics on Ledger-Obata spaces
Keywords: primary; 53C25; secondary; 53C30; 17B20; Ledger-Obata space; Einstein metric; Riemannian manifold; Compact Lie algebra;
Quasi-convergence of the Ricci flow on locally homogeneous closed 4-manifolds
Keywords: 53C44; 53C30; Ricci flow; Homogeneous 4-manifolds; Quasi-convergence;
Harmonic and biharmonic homomorphisms between Riemannian Lie groups
Keywords: primary; 53C30; 53C43; secondary; 22E15; Harmonic homomorphisms; Biharmonic homomorphisms; Riemannian submersions; Minimal Riemannian immersions;
The classification of SU(2)2 biquotients of rank 3 Lie groups
Keywords: 53C30; 22E46; Biquotients; Homogeneous spaces; Lie groups;
Homogeneous Einstein-Randers metrics on Aloff-Wallach spaces
Keywords: 22E46; 53C30; Aloff-Wallach spaces; Einstein-Randers spaces; Homogeneous manifolds;
On fibre bundle structures of Stiefel manifolds related to the octonions
Keywords: primary; 53C30; secondary; 53C15; Octonions; G2; Spin(7)-orbits decomposition;
Canonical distributions on Riemannian homogeneous kk-symmetric spaces
Keywords: 53C15; 53C30; 53C12Affinor structure; Almost product structure; Homogeneous kk-symmetric space; Canonical distribution; Invariant foliation
Sp(2)/U(1) and a positive curvature problem
Keywords: 22E46; 53C30; Riemannian homogeneous space; Sectional curvature; Positively curved for commuting pairs;
Hodge symmetry and decomposition on non-Kähler solvmanifolds
Keywords: 22E25; 53C30; 53C55Dolbeault cohomology; Solvmanifold; Hodge symmetry and decomposition
Einstein Riemannian metrics and Einstein–Randers metrics on a class of homogeneous manifolds
Keywords: 53C25; 53C30; 17B20; 22E46Einstein metrics; Einstein–Randers metrics; Homogeneous manifolds