Results 21 to 30 of about 217,631 (179)
Hopf fibrations and totally geodesic submanifolds [PDF]
, 2023 We classify totally geodesic submanifolds in Hopf-Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations.
Rodríguez-Vázquez, Alberto +1 more
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Geometric flows on soliton moduli spaces [PDF]
, 2013 It is well known that the low energy dynamics of many types of soliton can be approximated by geodesic motion on Mn, the moduli space of static n-solitons, which is usually a Kähler manifold.
Alqahtani, Lamia Saeed M
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Totally real totally geodesic submanifolds of compact 3-symmetricspaces
Totally real totally geodesic submanifolds of compact 3-symmetricspacesWe prove that a half dimensional, totally real and totally geodesic submanifold of a compact Riemannian 3-symmetric space is expressed as an orbit of a Lie subgroup of the isometry group of the ambient manifold. Moreover, we associate such submanifolds with graded Lie algebras of the second kind.
Tojo, Koji
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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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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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Restriction of toral eigenfunctions to totally geodesic submanifolds [PDF]
Analysis & PDE, 2021 6 figures.
Huang, Xiaoqi, Zhang, Cheng
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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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 Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection
Universal Journal of Mathematics and Applications, 2020 In this study, we consider the $ N(k)- $quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of $ N(k)- $quasi-Einstein manifolds is parallel with respect to semi-symmetric metric connection
İnan Ünal
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Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds [PDF]
, 2023 For n≥2, we prove that a finite volume complex hyperbolic n-manifold containing infinitely many maximal properly immersed totally geodesic submanifolds of real dimension at least two is arithmetic, paralleling our previous work for real hyperbolic ...
Miller, Nicholas +3 more
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