Results 1 to 10 of about 1,099 (217)
Invariant submanifold flows [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational bicomplex.
Peter J Olver
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The spectrum of an invariant submanifold
Journal of Differential Equations, 1980 AbstractThis paper is concerned with vector fields on smooth compact manifolds. The exponential growth of solutions of the linearized equations is described by the already well-known Spectral Theorem applied to the induced linear flow on the tangent bundle.
Robert J Sacker, George R Sell
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On invariant submanifolds of ( LCS ) n -manifolds
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Absos Ali Shaikh +2 more
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The boundary of an affine invariant submanifold [PDF]
Inventiones Mathematicae, 2017 We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over nodal Riemann surfaces, modulo zero area components. The main result is a formula for the tangent space to the boundary.
Maryam Mirzakhani, Alex Wright
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
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Conformal Invariants of Submanifolds [PDF]
Proceedings of the American Mathematical Society, 1977 A local conformal invariant and a global conformal invariant of a submanifold immersed in a Euclidean space are derived.
Hsiung, Chuan-Chih, Mugridge, Larry R.
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The Geometry of Invariant Submanifolds of a (κ,μ)-Paracontact Metric Manifold
International Journal of Pioneering Technology and Engineering, 2022 In this article, we consider an invariant submanifold of a -paracontact metric manifold. We research the conditions and for an invariant submanifold of a paracontact metric manifold.
Pakize Uygun +3 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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Journal of Amasya University the Institute of Sciences and Technology, 2023 This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds.
Hüseyin Yiğit, Süleyman Dirik
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Global Conformal Invariants of Submanifolds [PDF]
Annales de l'Institut Fourier, 2018 The goal of the present paper is to investigate the algebraic structure of global conformal invariants of submanifolds. These are defined to be conformally invariant integrals of geometric scalars of the tangent and normal bundle. A famous example of a global conformal invariant is the Willmore energy of a surface.
Mondino, A, Nguyen, HT
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