Results 51 to 60 of about 10,722 (208)
Screen Transversal Cauchy Riemann Lightlike Submanifolds
, 2020 We introduce a new class of lightlike submanifolds, namely, Screen Transversal Cauchy Riemann (STCR)-lightlike submanifolds, of indefinite Kahler manifolds.
Dogan, Burcin +2 more
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Generic Submanifolds of Almost Contact Metric Manifolds
, 2022 Ronsse introduced the notion of generic and skew CR-submanifolds of almost Hermitian manifolds in order to unify and generalize the notions of holomorphic, totally real, CR, slant, semi-slant and pseudo-slant submanifolds. Other authors, such as Tripathi,
Livia Bejan, Cornelia +3 more
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Deformations of Cayley submanifolds [PDF]
, 2016 Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds.
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Pointwise quasi hemi-slant submanifolds
, 2023 The objective of this paper is to introduce a new class of submanifolds which are called pointwise quasi hemi-slant submanifolds in almost Hermitian manifolds which extends quasi hemi-slant, hemi-slant, semi-slant and slant submanifolds in a very natural
Beyendi, Selahattin +2 more
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On spherical submanifolds with nullity [PDF]
Proceedings of the American Mathematical Society, 1985 We derive a new condition for spherical submanifolds with positive relative nullity. As an application we obtain that the Ricci curvature is bounded from above by the curvature of the ambient space.
Dajczer, Marcos, Gromoll, Detlef
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On the normality of an almost contact $3$-structure on $QR$-submanifolds [PDF]
, 1971 summary:We study $n$-dimensional $QR$-submanifolds of $QR$-dimension $(p-1)$ immersed in a quaternionic space form $QP^{(n+p)/4}(c)$, $c\geqq 0$, and, in particular, determine such submanifolds with the induced normal almost contact $3 ...
Funabashi, S. +3 more
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GENERIC QR-SUBMANIFOLDS OF QUATERNION KAEHLER MANIFOLDS
, 2021 In this paper, generic QR-submanifolds of a quaternion Kaehler manifold are introduced as a generalization of QR-submanifolds and real hypersurfaces of a quaternion Kaehler manifold.
Sahin, B., Yilmaz, A., Poyraz, D.
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Submanifolds with curvature normals of constant length and the Gauss map [PDF]
, 2004 We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala +3 more
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HOLONOMY AND SUBMANIFOLD GEOMETRY
, 2002 The article is a survey of applications of holonomy techniques to the study of submanifold geometry of spaces of constant curvature. The central tool is the normal holonomy theorem, proved by \textit{C. Olmos} in [Proc. Am. Math. Soc. 110, No. 3, 813--818 (1990; Zbl 0708.53023)].
DI SCALA, ANTONIO JOSE' +2 more
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Willmore Submanifolds in a sphere [PDF]
Mathematical Research Letters, 2002 Let $x:M\to S^{n+p}$ be an $n$-dimensional submanifold in an $(n+p)$-dimensional unit sphere $S^{n+p}$, $x:M\to S^{n+p}$ is called a Willmore submanifold to the following Willmore functional: $$ \int_M(S-nH^2)^{\frac{n}{2}}dv, $$ where $S=\sum\limits_{α,i,j}(h^α_{ij})^2$ is the square of the length of the second fundamental form, $H$ is the mean ...
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