Results 11 to 20 of about 41 (40)

Comparison formulas for total mean curvatures of Riemannian hypersurfaces

Advanced Nonlinear Studies
We 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
doaj   +1 more source

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

Geometry of branched minimal surfaces of finite index

Advanced Nonlinear Studies
Given I,B∈N∪{0} $I,B\in \mathbb{N}\cup \left\{0\right\}$ , we investigate the existence and geometry of complete finitely branched minimal surfaces M in R3 ${\mathbb{R}}^{3}$ with Morse index at most I and total branching order at most B. Previous works
Meeks William H., Pérez Joaquín
doaj   +1 more source

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  

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
core  

The Construction of Doubly Periodic Minimal Surfaces via Balance Equations

, 2009
. Using Traizet’s regeneration method, we prove the existence of many new 3-dimensional families of embedded, doubly periodic minimal surfaces. All these families have a foliation of R3 by vertical planes as a limit.
Peter Connor, Matthias Weber
core  

Classification of Rank-One Submanifolds. [PDF]

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

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

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

The smoothness of Riemannian submersions with non-negative sectional curvature

, 2008
Let M n be a complete, non-compact and C ∞-smooth Riemannian manifold with nonnegative sectional curvature. Suppose that S is a soul of M n given by the fundamental theory of Cheeger and Gromoll, and suppose that Ψ: M n → S is a distance nonincreasing ...
Mei-chi Shaw, Jianguo Cao
core  

Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]

J Geom Anal, 2018
Chen GG, Li S.
europepmc   +1 more source