Results 41 to 50 of about 86 (86)

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
core  

Doc. Math. J. DMV 389

, 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
core  

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, Davidov, Johann, Mushkarov, Oleg   +2 more
core  

Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In 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, Uddin Siraj, Bossly Rawan   +2 more
doaj   +1 more source

Higher Genus Doubly Periodic Minimal Surfaces [PDF]

, 2018
We construct Weierstrass data for higher genus embedded doubly periodic minimal surfaces and present numerical evidence that the associated period problem can be solved.
Connor, Peter
core  

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source

Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds

, 2019
In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the ...
Uddin, Siraj, Naghi, Monia Fouad, Al-Solamy, Falleh Rijaullah   +2 more
core  

The Stekloff Problem for Rotationally Invariant Metrics on the Ball [PDF]

, 2013
. Let (Br, g) be a ball of radius r > 0 in R n (n ≥ 2) endowed with a rotationally invariant metric ds 2 + f 2 (s)dw 2 , where dw 2 represents the standard metric on S n−1 , the (n−1)-dimensional unit sphere.
El Problema De Stekloff, Montaño Carreño, Oscar Andrés   +2 more
core  

Li-Yau inequalities for the Helfrich functional and applications. [PDF]

Calc Var Partial Differ Equ, 2023
Rupp F, Scharrer C.
europepmc   +1 more source

© Hindawi Publishing Corp. CONSTANT MEAN CURVATURE HYPERSURFACES WITH CONSTANT δ-INVARIANT

, 2003
We completely classify constant mean curvature hypersurfaces (CMC) with con-stant δ-invariant in the unit 4-sphere S4 and in the Euclidean 4-space E4. 2000 Mathematics Subject Classification: 53C40, 53B25, 53C42. 1. Introduction.
Oscar J. Garay, Bang-yen Chen
core