Results 11 to 20 of about 1,183 (218)
Invariant submanifolds in golden Riemannian manifolds
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: In this paper, we study invariant submanifolds of a golden Riemannian manifold with the aid of induced structures on them by the golden structure of the ambient manifold. We demonstrate that any invariant submanifold in a locally decomposable golden Riemannian manifold leaves invariant the locally decomposability of the ambient manifold.
Kılıç, Erol +2 more
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Semi-invariant submanifolds of (g, F)-manifolds [PDF]
Surveys in Mathematics and its Applications, 2010 We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds.
Novac-Claudiu Chiriac
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INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS [PDF]
Glasgow Mathematical Journal, 2008 AbstractInvariant submanifolds of contact (κ, μ)-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (κ, μ)-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (κ, μ)-manifold, μ ≠ 0, such that the characteristic vector field is tangent to the ...
CAPPELLETTI MONTANO, BENIAMINO +2 more
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δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
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Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]
Surveys in Mathematics and its Applications, 2006 We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
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Conformal Invariants of Submanifolds [PDF]
Proceedings of the American Mathematical Society, 1977 A local conformal invariant and a global conformal invariant of a submanifold immersed in a Euclidean space are derived.
Hsiung, Chuan-Chih, Mugridge, Larry R.
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Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold
Cubo, 2022 The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
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Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds
International Journal of Analysis and Applications, 2022 In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman +2 more
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Journal of Amasya University the Institute of Sciences and Technology, 2023 This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds.
Hüseyin Yiğit, Süleyman Dirik
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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