Results 61 to 70 of about 211,213 (315)

Rotational Hypersurfaces in S3(r)R Product Space

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
We consider rotational hypersurfaces in S3(r) R product space of five dimensional Euclidean space E5. We calculate the mean curvature and the Gaussian curvature, and give some results.
Erhan Güler, Ömer Kişi
doaj   +1 more source

Some geometric properties of hypersurfaces with constant $r$-mean curvature in Euclidean space [PDF]

, 2010
Let $f:M\ra \erre^{m+1}$ be an isometrically immersed hypersurface. In this paper, we exploit recent results due to the authors in \cite{bimari} to analyze the stability of the differential operator $L_r$ associated with the $r$-th Newton tensor of $f ...
Impera, Debora, Mari, Luciano, Rigoli, Marco   +2 more
core   +2 more sources

First eigenvalue of the Laplace operator and mean curvature [PDF]

Ukrainian Mathematical Journal, 2008
The main theorem of this paper states a relation between the first nonzero eigenvalue of the Laplace operator and the squared norm of mean curvature in irreducible compact homogeneous manifolds under spatial conditions. This statement has some consequences presented in the remainder of paper.
openaire   +2 more sources

Some Eigenvalues Estimate for the ϕ-Laplace Operator on Slant Submanifolds of Sasakian Space Forms

Journal of Function Spaces, 2021
This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li, Akram Ali, Fatemah Mofarreh, Abimbola Abolarinwa, Rifaqat Ali   +4 more
doaj   +1 more source

Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms

Journal of Inequalities and Applications, 2022
This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li, Fatemah Mofarreh, Ravi P. Agrawal, Akram Ali   +3 more
doaj   +1 more source

Eigenvalue estimates for the Dirac-Schr\"odinger operators

, 2001
We give new estimates for the eigenvalues of the hypersurface Dirac operator in terms of the intrinsic energy-momentum tensor, the mean curvature and the scalar curvature.
Bertrand Morel, Bär, Friedrich, Friedrich, Hijazi, Hijazi, Parker, Witten, Zhang, Zhang   +9 more
core   +1 more source

Level set approach for fractional mean curvature flows [PDF]

, 2009
This paper is concerned with the study of a geometric flow whose law involves a singular integral operator. This operator is used to define a non-local mean curvature of a set.
Imbert, Cyril
core   +2 more sources

Odd Invariant Semidensity and Divergence-like Operators on an Odd Symplectic Superspace

, 1997
The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way.
Khudaverdian, O. M.
core   +2 more sources

Parabolic stable surfaces with constant mean curvature [PDF]

, 2010
We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrodinger operator $-L=-(\Delta +q)$ on a parabolic Riemannian manifold M, then u is either identically zero or it has no zeros on M, and the linear space of such functions ...
A. Grigor’yan, B. Daniel, B. Daniel, B. Daniel, B. Nelli, C.B. Figueroa, D. Fischer-Colbrie, F. Morgan, F. Torralbo, G. Li, H. Berestycki, H. Rosenberg, I. Fernandez, I. Salavessa, J.L. Barbosa, J.M. Espinar, Joaquín Pérez, José M. Manzano, L. Ambrosio, L. Hauswirth, M. Magdalena Rodríguez, M. Troyanov, P. Collin, R. Harvey, R. Pedrosa, R. Schoen, S.Y. Cheng, U. Abresch, W.H. Meeks III, W.T. Hsiang   +29 more
core   +1 more source

Spheres and Tori as Elliptic Linear Weingarten Surfaces

Mathematics, 2022
The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric.
Dong-Soo Kim, Young Ho Kim, Jinhua Qian
doaj   +1 more source