Results 41 to 50 of about 93 (91)
Homogeneous two-manifolds with an invariant two-form
, 2007 : We study a 2-dimensional manifold that is homogeneous acted on by a 3-dimensional Lie group G, and that has a 2-form invariant under G. We show that such a manifold can be realized as a surface in the affine 3-space and list such realizations ...
Masaaki Yoshida, Takeshi Sasaki
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Some Results about the Classification of Totally Real Minimal Surfaces in S
, 2007 In this paper we prove that the Contact angle (π/4 ≤ β < π/2) for totally real compact minimal surfaces in the sphere S 5 with a parallel normal vector field must be constant.
Rodrigo Ristow Montes
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Contact CR-Submanifolds of Kenmotsu Manifolds [PDF]
, 2011 2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold.
Atçeken, Mehmet
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Comparison formulas for total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear StudiesWe devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds.
Ghomi Mohammad
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, 2008 . We present a new approach to the differential geometry of surfaces in R 3 and R 4 that treats this theory as a “quaternionified ” version of the complex analysis and algebraic geometry of Riemann surfaces. 1991 Mathematics Subject Classification: 53C42
Ulrich Pinkall, Franz Pedit
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Embedded Minimal Ends of Finite Type
, 1999 .-We prove that the end of a complete embedded minimal surface in R 3 with infinite total curvature and finite type has an explicit Weierstrass representation that only depends on a holomorphic function that vanishes at the puncture.
Romon, Pascal +5 more
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Хармонични собствени почти комплексни структури върху 4-многообразия на Уокър
, 2014 [Davidov Johann; Давидов Йохан]; [Ul Haq Absar; Ул Хак Абсар]; [Mushkarov Oleg; Muškarov Oleg; Мушкаров Олег]Every Walker 4-manifold M, endowed with a canonical neutral metric, admits a specific almost complex structure called proper.
Ul Haq, Absar +2 more
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Classification of Rank-One Submanifolds. [PDF]
Results Math, 2023 Raffaelli M.
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Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed +2 more
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Noether invariants for constant mean curvature surfaces in 3-dimensional homogeneous spaces
, 2013 We give explicit formulæ for Noether invariants associated to Killing vector fields for the variational problem of minimal and constant mean curvature sur-faces in 3-manifolds.
Cartier, Sébastien, Sébastien Cartier
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