Results 1 to 10 of about 201,081 (270)
A basic inequality for submanifolds in a cosymplectic space form [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
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Hilbert polynomials and Arveson's curvature invariant
Journal of Functional Analysis, 2003 The author proves some formulas relating the leading coefficients of Hilbert polynomials for invariant subspaces of the symmetric Fock space and the curvature invariant for the corresponding coinvariant subspaces. A generalization of the Gauss-Bonnet-Chern formula from the homogeneous polynomially generated submodules to arbitrary polynomially ...
exaly +2 more sources
Renormalized entanglement entropy and curvature invariants [PDF]
Journal of High Energy Physics, 2020 Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces.
Marika Taylor, Linus Too
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Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
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Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi +1 more
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Some remarks on invariant lightlike submanifolds of indefinite Sasakian manifold [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The author considers an invariant lightlike submanifold M, whose transversal bundle tr(TM) is flat, in an indefinite Sasakian manifold M¯(c) of constant φ¯-sectional curvature c. Under some geometric conditions, the author demonstrates that c=1,
Samuel Ssekajja
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Conflict between some higher-order curvature invariant terms
Nuclear Physics B, 2021 A viable quantum theory does not allow curvature invariant terms of different higher orders to be accommodated in the gravitational action. We show that there is indeed a conflict between the curvature squared and Gauss-Bonnet squared terms from the ...
Dalia Saha +3 more
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Curvature operators and scalar curvature invariants [PDF]
Classical and Quantum Gravity, 2010 We continue the study of the question of when a pseudo-Riemannain manifold can be locally characterised by its scalar polynomial curvature invariants (constructed from the Riemann tensor and its covariant derivatives). We make further use of alignment theory and the bivector form of the Weyl operator in higher dimensions, and introduce the important ...
Hervik, Sigbjørn, Coley, Alan
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Homotopy invariants and almost non-negative curvature [PDF]
Mathematische Zeitschrift, 2021 This paper explores the relation between the structure of fibre bundles akin to those associated to a closed almost nonnegatively sectionally curved manifold and rational homotopy theory.
Bazzoni, Giovanni +2 more
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Projective Curvature and Integral Invariants [PDF]
Acta Applicandae Mathematica, 2002 It is known, that the projective group and its three subgroups namely the Euclidean group \(E(2)\), special affine group \(SA(2)\) and the full affine group \(A(2)\) play an important role in computer vision. The fundamental invariant of the projective group is the projective curvature which characterises curves under a projective transformation.
Hann, C.E., Hickman, M.S.
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