Results 51 to 60 of about 1,215 (136)
Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP‐Cosymplectic Manifold [PDF]
Mathematical Problems in Engineering, 2011 In the present note, we study slant and hemislant submanifolds of an LP‐cosymplectic manifold which are totally umbilical. We prove that every totally umbilical proper slant submanifold M of an LP‐cosymplectic manifold is either totally geodesic or if M is not totally geodesic in then we derive a formula for slant angle of M.
Siraj Uddin +2 more
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New examples of generalized Sasakian-space-forms [PDF]
, 2015 In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a structure, on the assumption that it is totally geodesic, totally umbilical, totally contact geodesic or totally contact umbilical. We
Alegre Rueda, Pablo Sebastián +3 more
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On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups
Mathematische Nachrichten, Volume 298, Issue 6, Page 1922-1942, June 2025.Abstract This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality.
Giovanni Calvaruso +2 more
wiley +1 more source
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
, 2017 In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Uddin, Siraj
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Totally umbilical submanifolds in some semi-Riemannian manifolds [PDF]
Colloquium Mathematicum, 2010 Stanisław Ewert-Krzemieniewski
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Totally umbilical submanifolds in irreducible symmetric spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982 AbstractA submanifold of a Riemannian manifold is called a totally umbilical submanifold if its first and second fundamental forms are proportional. In this paper we prove the following best possible result.
Chen, Bang-Yen, Verheyen, Paul
openaire +2 more sources
Multiplicative rectifying submanifolds of multiplicative Euclidean space
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 329-339, 15 January 2025.In this paper, we initiate the study of the multiplicative Euclidean submanifolds, exhibiting the multiplicative counterparts of the Gauss–Weingarten formulas. Some particular types such as multiplicative conic, spherical, and totally geodesic submanifolds are analyzed.
Muhittin Evren Aydin +2 more
wiley +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans‐Sasakian structure of type (α, β), subject to the condition that the structure vector field of M- is tangent to M. First we study the general theory for lightlike hypersurfaces of indefinite trans‐Sasakian manifold of type (α, β ...
Dae Ho Jin, Dimitris Fotakis
wiley +1 more source
On complete submanifolds with parallel mean curvature in product spaces [PDF]
, 2011 We prove a Simons type formula for submanifolds with parallel mean curvature vector field in product spaces of type $M^n(c)\times\mathbb{R}$, where $M^n(c)$ is a space form with constant sectional curvature $c$, and then we use it to characterize some of
Fetcu, Dorel, Rosenberg, Harold
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