Results 1 to 10 of about 145 (132)
δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms [PDF]
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
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IMPROVED CHEN’S INEQUALITIES FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS [PDF]
Romanian Journal of Mathematics and Computer Science, 2016 Riemannian invariants (in particular Chen invariants) play an important role in the theory of submanifolds. They are very useful in providing relationships between the extrinsic and intrinsic invariants of a submanifold.
GABRIEL MACSIM
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Physics Letters B, 2016 We employ new calculational technique and present complete list of classical r-matrices for D=4 complex homogeneous orthogonal Lie algebra o(4;C), the rotational symmetry of four-dimensional complex space–time.
A. Borowiec, J. Lukierski, V.N. Tolstoy
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An Inequality on Quaternionic CR-Submanifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
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Journal of High Energy Physics, 2017 We construct firstly the complete list of five quantum deformations of D = 4 complex homogeneous orthogonal Lie algebra o4ℂ≅o3ℂ⊕o3ℂ $$ \mathfrak{o}\left(4;\mathbb{C}\right)\cong \mathfrak{o}\left(3;\mathbb{C}\right)\oplus \mathfrak{o}\left(3;\mathbb{C ...
A. Borowiec, J. Lukierski, V.N. Tolstoy
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Physics Letters B, 2017 In our previous paper [1] we obtained a full classification of nonequivalent quasitriangular quantum deformations for the complex D=4 Euclidean Lie symmetry o(4;C).
Andrzej Borowiec +2 more
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DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds
AxiomsThis work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections.
Rawan Bossly +4 more
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Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application
Journal of New TheoryIn 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Comptes Rendus. MathématiqueEvery Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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Curvature Pinching Conditions in Quaternionic Manifolds Under Quarter-Symmetric Metric Connections
AxiomsThis work presents a pair of sharp geometric inequalities that connect the normalized scalar curvature with the generalized normalized δ-Casorati curvature for θ-slant submanifolds immersed in quaternionic space forms endowed with a quarter-symmetric ...
Md Aquib, Ibrahim Al-Dayel
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