Results 181 to 190 of about 5,115 (226)

The Double-Layer Potential for Spectral Constants Revisited. [PDF]

open access: yesIntegr Equ Oper Theory
Schwenninger FL, de Vries J.
europepmc   +1 more source

On pinching theorems for compact pseudo-umbilical submanifold

open access: yesDemonstratio Mathematica, 2012
Consider submanifolds in the nested space. For a compact pseudoumbilical submanifold with parallel mean curvature vector of a Riemannian submanifold with constant curvature immersed in a quasi-constant curvature Riemannian manifold, two sufficient ...
Jing Mao
exaly   +2 more sources

Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base

open access: yesSymmetry, 2022
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold.
S K Srivastava   +2 more
exaly   +2 more sources
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Diametrical Submanifolds

Periodica Mathematica Hungarica, 2000
A diffeomorphism \(\delta:M\to M\) of a boundaryless \(k\)-dimensional submanifold \(M\) of a Euclidean space \(\mathbb{R}^n\) is called by the authors diametrical with respect to the center \(p\) if \(x\), \(p\) and \(\delta(x)\) \((x\in M)\) are distinct collinear points and \(T_x M=T_{\delta(x)} M\).
F. J. Craveiro de Carvalho, Bernd Wegner
openaire   +2 more sources

THE CONTACT NUMBER OF A PSEUDO-EUCLIDEAN SUBMANIFOLD [PDF]

open access: yesTaiwanese Journal of Mathematics, 2008
In this paper we define the contact number of a pseudo-Riemannian submanifold into the pseudo-Euclidean space, and prove that this contact number is closely related to the notion of pseudo-isotropic submanifold. We give a classification of hypersurfaces
Gómez Casanueva, Juan Salvador   +5 more
exaly   +2 more sources

Isothermic Submanifolds

Journal of Geometric Analysis, 2011
From the author's abstract: We propose an answer to a question raised by F. Burstall: Is there any interesting theory of isothermic submanifolds of \(\mathbb{R}^n\) of dimension greater than two? We call an \(n\)-immersion \(f(x)\) in \(\mathbb{R}^m\) isothermic\(_k\) if the normal bundle of \(f\) is flat and \(x\) is a line of curvature coordinate ...
Donaldson, Neil, Terng, Chuu-Lian
openaire   +2 more sources

On the nullity distribution of a submanifold of a space form [PDF]

open access: yesMathematische Zeitschrift, 2011
If M is a submanifold of a space form, the nullity distribution N of its second fundamental form is (when defined) the common kernel of its shape operators. In this paper we will give a local description of any submanifold of the Euclidean space by means
Francisco Vittone, Vittone, Francisco
exaly   +2 more sources

SUBMANIFOLDS OF HIGHER RANK

The Quarterly Journal of Mathematics, 1997
The second author defined in [\textit{C. Olmos}, J. Differ. Geom. 39, 605-627 (1994; Zbl 0806.53054)] the rank of a homogeneous submanifold of a Euclidean space as the maximal number of locally defined and linearly independent parallel normal vector fields.
Console, Sergio, Olmos, Carlos
openaire   +2 more sources

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