Results 31 to 40 of about 217,631 (179)
On balls and totally geodesic submanifolds [PDF]
Annales Polonici Mathematici, 1984 Let (M,g) be a Riemannian manifold and let N be a submanifold of (M,g). Further, let \(x\in N\) and denote by \(B_ N(x,r)\) (or \(B_ M(x,r)\), respectively) the open geodesic ball on N (or M, respectively) with center x and radius r. N is said to be \(\epsilon\)-regular if \(B_ N(x,r)=B_ M(x,r)\cap N\) for any \(x\in N\) and \(r\in (0,\epsilon).\) In ...
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CR-submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, 1994 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
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Connected subgroups of SO(2,n) acting irreducibly on R^{2,n} [PDF]
, 2011 We classify all connected subgroups of SO(2, n) that act irreducibly on R^{2 ...
Antonio J. Di Scala +4 more
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Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical SciencesPurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker +2 more
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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 Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
Axioms, 2019 A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
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TOTALLY GEODESIC SUBMANIFOLDS IN RIEMANNIAN SYMMETRIC SPACES [PDF]
Differential Geometry, 2009 In the first part of this expository article, the most important constructions and classification results concerning totally geodesic submanifolds in Riemannian symmetric spaces are summarized. In the second part, I describe the results of my classification of the totally geodesic submanifolds in the Riemannian symmetric spaces of rank 2.
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Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]
Journal of Sciences, Islamic Republic of Iran, 2012 In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in .
M.B. Kashani
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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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Oriented 6-dimensional submanifolds in the octonians, III
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we classify 6-dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi-Käthler and ∗-Einstein submanifolds in 𝕆. Also, we prove that a
Hideya Hashimoto
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