Results 1 to 10 of about 50 (40)
Journal of Function SpacesThis paper investigates four-dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures.
Aydin Gezer, Sedanur Ucan, Cagri Karaman
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AFFINOR METRIC STRUCTURES AND THEIR PHYSICAL APPLICATIONS [PDF]
Science Evolution, 2016 This work describes the fundamentals of the mathematical theory of affinor metric structures and physical problems where these structures are used. Affinor metric structure is defined as an arbitrary 1-form having a radical of arbitrary rank, a certain Riemannian metric and a special field of automorphisms of tangent spaces connecting the exterior ...
Evgeniy Kornev, Evgeniy Kornev
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Invariant affinor and sub-Kähler structures on homogeneous spaces
Siberian Mathematical Journal, 2016 The authors consider \(G\)-invariant affinor metric structures and their particular cases, sub-Kähler structures, on a homogeneous space \(G/H\). The affine metric structures generalize almost Kähler and almost contact metric structures to manifolds of arbitrary dimension. They study invariant sub-Riemannian and sub-Kähler structures related to a fixed
Kornev, E. S., Slavolyubova, Ya. V.
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Affinor structures in the oscillation theory [PDF]
Banach Center Publications, 2002 exaly +2 more sources
Canonical quasi-geodesic mappings of special pseudo-Riemannian spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 The present paper continues the study of quasi-geodesic mappings f:(Vn, gij, Fih) → (V'n,g'ij, Fih) of pseudo-Riemannian spaces Vn, V'n with a generalized-recurrent structure Fih of parabolic type.
Irina Kurbatova, M. Pistruil
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On quasi-geodesic mappings of special pseudo-Riemannian spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 The present paper continues the study of quasi-geodesic mappings f:(Vn, gij, Fih) → (V'n,g'ij, Fih) of pseudo-Riemannian spaces Vn, V'n with a generalized-recurrent structure Fih of parabolic type.
Irina Kurbatova, M. Pistruil
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Harmonic Subtangent Structures
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 The concept of harmonic subtangent structures on almost subtangent metric manifolds is introduced and a Bochner‐type formula is proved for this case. Conditions for a subtangent harmonic structure to be preserved by harmonic maps are also given.
Adara M. Blaga, Bibhas R. Majhi
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Invariant f‐structures on the flag manifolds SO(n)/SO(2) × SO(n − 3)
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We consider manifolds of oriented flags SO(n)/SO(2) × SO(n − 3)(n ≥ 4) as 4‐ and 6‐symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f‐structures on these homogeneous Φ‐spaces belong to the classes Kill f, NKf, and G1f of generalized Hermitian geometry.
Vitaly V. Balashchenko, Anna Sakovich
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Pseudoinversion of degenerate metrics
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 55, Page 3479-3501, 2003., 2003 Let (M, g) be a smooth manifold M endowed with a metric g. A large class of differential operators in differential geometry is intrinsically defined by means of the dual metric g∗ on the dual bundle TM∗ of 1‐forms on M. If the metric g is (semi)‐Riemannian, the metric g∗ is just the inverse of g. This paper studies the definition of the above‐mentioned
C. Atindogbe, J.-P. Ezin, Joël Tossa
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Journal of Applied Mathematics, Volume 2, Issue 7, Page 337-370, 2002., 2002 We solve the problem of description of nonsingular pairs of compatible flat metrics for the general N‐component case. The integrable nonlinear partial differential equations describing all nonsingular pairs of compatible flat metrics (or, in other words, nonsingular flat pencils of metrics) are found and integrated.
Oleg I. Mokhov
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