On convex hypersurfaces in
Thomas Hasanis (1984)
Colloquium Mathematicae
Marian Hotloś (1989)
Colloquium Mathematicae
Weiss, Gunter, Martini, Horst (2000)
Journal for Geometry and Graphics
Fr. Fabricius-Bjerre (1975)
Mathematica Scandinavica
L. Bieszk, E. Stasiak (1972)
Annales Polonici Mathematici
Miroslava Petrović-Torgašev, Leopold C. A. Verstraelen (2008)
Archivum Mathematicum
It was conjectured in [26] that, for all submanifolds of all real space forms , the Wintgen inequality is valid at all points of , whereby is the normalised scalar curvature of the Riemannian manifold and , respectively , are the squared mean curvature and the normalised scalar normal curvature of the submanifold in the ambient space , and this conjecture was shown there to be true whenever codimension . For a given Riemannian manifold , this inequality can be interpreted as follows:...
Bekbaev, Ural (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Oldřich Kowalski, Zdeněk Vlášek (1997)
Commentationes Mathematicae Universitatis Carolinae
We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in .
M. Grüter, J. Jost (1986)
Annales de l'I.H.P. Analyse non linéaire
Alois Švec (1987)
Czechoslovak Mathematical Journal
Grigor'eva, E.G. (2000)
Siberian Mathematical Journal
Robert Gulliver, Friedrich Tomi (1989)
Manuscripta mathematica
Jovo Jarić (2012)
Publications de l'Institut Mathématique
Carter, Sheila, Dursun, Uğur (1997)
Beiträge zur Algebra und Geometrie
W. Waliszewski (1971)
Annales Polonici Mathematici
Boris Doubrov, Igor Zelenko (2012)
Open Mathematics
We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra. The scope...
Alena Vanžurová (1985)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Katsnelson, Victor (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Fr. Fabricius-Bjerre (1974)
Mathematica Scandinavica
Aruna Nigam (1979)
Revista Matemática Hispanoamericana
Analytic vector fields in a Hermitian manifold have been studied by various authors [3, 4, 6 & 7]. Boothby [2] and Goldberg [1] extended some of these results to Hermitian manifold with torsion. In this paper we define and study p-pseudo-analytic vector fields, which when p = 1, reduce to analytic vector fields as given in [1] and [2]. A necessary and sufficient condition for a vector field to be covariant (contravariant) p-pseudo-analytic has been obtained and their relationship with p-pseudo-harmonic...