Results 11 to 20 of about 187 (169)
On stability of Hermitian structures on 6-dimensional planar submanifolds of Cayley algebra
Дифференциальная геометрия многообразий фигур, 2021 We consider 6-dimensional planar submanifolds of Cayley algebra. As it is known, the so-called Brown — Gray three-fold vector cross products induce almost Hermitian structures on such submanifolds. We select the case when the almost Hermitian structures
M.B. Banaru, G.A. Banaru
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An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not.
Gauree Shanker, Ankit Yadav
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The Geometry of Invariant Submanifolds of a (κ,μ)-Paracontact Metric Manifold
International Journal of Pioneering Technology and Engineering, 2022 In this article, we consider an invariant submanifold of a -paracontact metric manifold. We research the conditions and for an invariant submanifold of a paracontact metric manifold.
Pakize Uygun +3 more
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Totally geodesic submanifolds of Damek–Ricci spaces
Revista Matemática Iberoamericana, 2020 We classify totally geodesic submanifolds of Damek–Ricci spaces and show that they are either subgroups (“smaller” Damek–Ricci spaces) or isometric to rank-one symmetric spaces of negative curvature.
Kim, Sinhwi +2 more
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On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
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Totally geodesic submanifolds of symmetric spaces, I
Duke Mathematical Journal, 1977 One purpose of this article is to establish a general method to determine stability of totally geodesic submanifolds of symmetric spaces. The method is used to determine the stability of the basic totally geodesic submanifolds M+,M introduced and studied by Chen and Nagano in (Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J.
Chen, Bang-yen, Nagano, Tadashi
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On totally geodesic submanifolds in the Jacobian locus [PDF]
International Journal of Mathematics, 2015 We study submanifolds of Agthat are totally geodesic for the locally symmetric metric and which are contained in the closure of the Jacobian locus but not in its boundary. In the first section we recall a formula for the second fundamental form of the period map Mg↪ Agdue to Pirola, Tortora and the first author.
E. Colombo, P. Frediani, A. Ghigi
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On the dimension of totally geodesic submanifolds in the Prym loci [PDF]
Bollettino dell'Unione Matematica Italiana, 2021 AbstractIn this paper we give a bound on the dimension of a totally geodesic submanifold of the moduli space of polarised abelian varieties of a given dimension, which is contained in the Prym locus of a (possibly) ramified double cover. This improves the already known bounds.
E. Colombo, P. Frediani
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A remark on the metric dimension in Riemannian manifolds of constant curvature [PDF]
AUT Journal of Mathematics and ComputingWe compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph $G=(V,E)$ embedded in a Riemannian ...
Shiva Heidarkhani Gilani +2 more
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
Abstract and Applied Analysis, 2012 We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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