Results 121 to 130 of about 10,692 (245)

Totally real submanifolds of the nearly kaehler 6-sphere [PDF]

, 1997
Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
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On area comparison and rigidity involving the scalar curvature [PDF]

In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
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A maximal element of a moduli space of Riemannian metrics

, 2022
For a given smooth manifold, we consider the moduli space of Riemannian metrics up to isometry and scaling. One can define a preorder on the moduli space by the size of isometry groups.
Taketomi, Yuichiro
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Geometry of Manifolds and Applications

Mathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Applications of Disaffinity Vectors to Certain Riemannian Manifolds

Mathematics
A disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field.
Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen   +2 more
doaj   +1 more source

Laser-dressed states on Riemannian manifolds: A generalization of the Kramers-Henneberger transformation

Physical Review Research
Quantum particles under geometric constraints are sensitive to the geometry and topology of the underlying space. We analytically study the laser-driven nonlinear dynamics of a quantum particle whose motion is constrained to a two-dimensional Riemannian ...
Hannah Bendin, Benjamin Schwager, Jamal Berakdar   +2 more
doaj   +1 more source

Induced Connections and Imbedded Riemannian Spaces

Nagoya Mathematical Journal, 1956
Let P be a principal fibre bundle over M with group G and with projection π : P → M. By definition of a principal fibre bundle, G acts on P on the right.
openaire   +3 more sources

Subspace of Finsler space and Riemannian metrics on its bundle

, 1995
application/pdfS.Sasaki introduced a Riemannian metric on tangent bundle of Riemannian space. lnstead of Riemannian space，we treat subspace of Finsler space.
MIZOGUCHI, Nobuo, 溝口, 宣夫, ミゾグチ, ノブオ   +2 more
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Characterizations of Complete Linear Weingarten Spacelike Submanifolds in a Locally Symmetric Semi-Riemannian Manifold

Extracta Mathematicae, 2017
In this paper, we deal with n-dimensional complete spacelike submanifolds M n with flat normal bundle and parallel normalized mean curvature vector immersed in an (n + p)-dimensional locally symmetric semi-Riemannian manifold Ln+pp of index p obeying ...
Jogli G. Araújo, Henrique F. de Lima, Fábio R. dos Santos, Marco Antonio Velásquez   +3 more
doaj  

Integral Formulae and Applications for Compact Riemannian Hypersurfaces in Riemannian and Lorentzian Manifolds Admitting Concircular Vector Fields

Mathematics
This paper investigates compact Riemannian hypersurfaces immersed in (n+1)-dimensional Riemannian or Lorentzian manifolds that admit concircular vector fields, also known as closed conformal vector fields (CCVFs).
Mona Bin-Asfour, Kholoud Saad Albalawi, Mohammed Guediri   +2 more
doaj   +1 more source