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Title of Journal: Results Math

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Abbravation: Results in Mathematics

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Birkhäuser-Verlag

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10.1016/j.acn.2004.08.003

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1420-9012

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Minimal Submanifolds in SSuperscriptp+3/Supersc

Authors: Sebastiāo C de Almeida Aldir Brasil Luiz Amâncio M Souza
Publish Date: 2013/04/24
Volume: 46, Issue: 1-2, Pages: 1-9
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Abstract

Let M be a compact minimal 3dimensional submanifold with constant scalar curvature R immersed in the standard sphere S3+p In codimension 1 we know from the work that has been done on Chern’s conjecture that M is isoparametric and R = 3D0 R = 3D3 or R = 3D6 In this paper we extend this result from codimension one to compact submanifolds with a flat normal bundle and give a complete classification

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  1. Attracting and Invariant Sets of Nonlinear Stochastic Neutral Differential Equations with Delays
  2. L p -L q Estimates For Solutions To The Damped Plate Equation In Exterior Domains
  3. Defect and Area in Beltrami–Klein Model of Hyperbolic Geometry
  4. Limits of integrals involving almost periodic functions
  5. Asymptotische LÖsungen Der Translationsgleichung
  6. Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone
  7. Decompositions of para-complex vector bundles and para-complex affine immersions
  8. Smooth Stable Planes
  9. Blaschke Dupin hypersurfaces and equiaffine tubes
  10. Matrix Representations of Sturm–Liouville Problems with Finite Spectrum
  11. On the Variation-Diminishing Property
  12. Real Hypersurfaces in Complex Two-plane Grassmannians with $${\mathfrak{D}^{\bot}}$$-Parallel Shape Operator
  13. Point-Reflection Geometries, Geometric K-Loops and Unitary Geometries
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  15. Pedal Curves Part I: Homogeneous Differential Equation
  16. Regelflächen von Strahlensystemen Mit Demselben SphÄrischen Bild
  17. On the de la Vallée-Poussin Means on the Sphere
  18. Type $${\mathcal{}}$$ Sets and the ttractors of Infinite Iterated Function Systems
  19. Orthocentric Simplices and Biregularity
  20. Conditions for Starlikeness of Multivalent Functions
  21. Rigidity of Complete Minimal Hypersurfaces in the Euclidean Space
  22. On the Rate of Almost Everywhere Convergence of Abel-Cartwright means on L p ( R n )
  23. A Class of Nonlocal Impulsive Problems for Integrodifferential Equations in Banach Spaces
  24. Closed form of the Fourier–Borel Kernel in the Framework of Clifford Analysis
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  27. A Theorem on Homogeneous Differential Polynomials
  28. Recent Developments In Harmonic Approximation, With Applications
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