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Displaying 41 – 60 of 529

Characteristic points, rectifiability and perimeter measure on stratified groups

Valentino Magnani (2006)

Journal of the European Mathematical Society

We establish an explicit connection between the perimeter measure of an open set $E$ with $C^{1}$ boundary and the spherical Hausdorff measure $S^{Q - 1}$ restricted to $\partial E$ , when the ambient space is a stratified group endowed with a left invariant sub-Riemannian metric and $Q$ denotes the Hausdorff dimension of the group. Our formula implies that the perimeter measure of $E$ is less than or equal to $S^{Q - 1} (\partial E)$ up to a dimensional factor. The validity of this estimate positively answers a conjecture raised by Danielli, Garofalo...

Characteristic vector fields of generic distributions of corank 2

B. Jakubczyk, W. Kryński, F. Pelletier (2009)

Annales de l'I.H.P. Analyse non linéaire

Characterization of a slant submanifold of a Kenmotsu manifold.

Pandey, Pradeep Kumar, Gupta, Ram Shankar (2008)

Novi Sad Journal of Mathematics

Characterization of $G C R$ -lightlike warped product of indefinite Kenmotsu manifolds

Rakesh Kumar (2013)

Matematički Vesnik

Characterization of higher-order tangent bundles.

de León, M., Oubiña, J.A., Salgado, M. (1995)

Beiträge zur Algebra und Geometrie

Characterization of Low Dimensional RCD*(K, N) Spaces

Yu Kitabeppu, Sajjad Lakzian (2016)

Analysis and Geometry in Metric Spaces

In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets. In particular, we prove that the class of Ricci limit spaces with Ric ≥ K and Hausdorff dimension N and the class of RCD*(K, N) spaces coincide for N < 2 (They can be either complete intervals or circles). We will also prove a Bishop-Gromov type inequality (that is ,roughly speaking, a converse...

Characterization of Riemannian Manifolds with Weak Homology Group G2 (Following A. Gray).

Stefano Marchiafava (1981)

Mathematische Zeitschrift

Characterization of some tensor concomitants of the metric tensor and vector fields under restricted groups of transformations

M. A. McKiernan, H. Richards (1970)

Annales Polonici Mathematici

Characterization of the Kantor-Koecher-Tits algebra by a generalized Ahlfors operator.

Bertram, Wolfgang, Hilgert, Joachim (2001)

Journal of Lie Theory

Characterization of the $L^{p}$ -range of the Poisson transform in hyperbolic spaces $B (𝔽^{n})$ .

Boussejra, A., Sami, H. (2002)

Journal of Lie Theory

Characterization of the Pseudo-symmetries of Ideal Wintgen Submanifolds of Dimension 3

Ryszard Deszcz, Miroslava Petrović-Torgašev, Zerrin Şentürk, Leopold Verstraelen (2010)

Publications de l'Institut Mathématique

Characterization of totally umbilic hypersurfaces in a space form by circles

Toshiaki Adachi, Sadahiro Maeda (2005)

Czechoslovak Mathematical Journal

In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.

Characterization on Mixed Generalized Quasi-Einstein Manifold

Sampa Pahan, Buddhadev Pal, Arindam BHATTACHARYYA (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold.

Characterizations of complex space forms by means of geodesic spheres and tubes

J. Gillard (1996)

Colloquium Mathematicae

We prove that a connected complex space form ( $M^{n}$ ,g,J) with n ≥ 4 can be characterized by the Ricci-semi-symmetry condition ${\tilde{R}}_{X Y} \cdot \tilde{ϱ} = 0$ and by the semi-parallel condition ${\tilde{R}}_{X Y} \cdot σ = 0$ , considering special choices of tangent vectors $X, Y$ to small geodesic spheres or geodesic tubes (that is, tubes about geodesics), where $\tilde{R}$ , $\tilde{ϱ}$ and $σ$ denote the Riemann curvature tensor, the corresponding Ricci tensor of type (0,2) and the second fundamental form of the spheres or tubes and where ${\tilde{R}}_{X Y}$ acts as a derivation.

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