Results 31 to 40 of about 187 (169)

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
doaj   +1 more source

Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold

Universal Journal of Mathematics and Applications, 2018
In this paper, we establish the following results: Let $M$ be an $% m-$dimensional compact totally real minimal submanifold immersed in a locally symmetric Bochner-Kaehler manifold $\tilde{M}$ with Ricci curvature bounded from below. Then either $M$ is a
Mehmet Bektaş, Zühal Küçükarslan Yüzbaşı, Münevver Yıldırım Yılmaz   +2 more
doaj   +1 more source

On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]

Proceedings of the Estonian Academy of Sciences, 2012
The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
doaj   +1 more source

Restriction of eigenfunctions to totally geodesic submanifolds

, 2022
This article is about two types of restrictions of eigenfunctions $ϕ_j$ on a compact Riemannian manifold $(M,g)$: First, we restrict to a submanifold $H \subset M$, and expand the restriction $γ_H ϕ_j$ in eigenfunctions $e_k$ of $H$. We then Fourier restrict $γ_H ϕ_j$ to a short interval of eigenvalues of $H$.
openaire   +2 more sources

Totally geodesic submanifolds in exceptional symmetric spaces

Advances in Mathematics, 2023
We classify maximal totally geodesic submanifolds in exceptional symmetric spaces up to isometry. Moreover, we introduce an invariant for certain totally geodesic embeddings of semisimple symmetric spaces, which we call the Dynkin index. We prove a result analogous to the index conjecture: for every irreducible symmetric space of non-compact type ...
Kollross, Andreas, Rodríguez-Vázquez, Alberto   +1 more
openaire   +3 more sources

On Geodesic Triangles in Non-Euclidean Geometry

Foundations
In this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context.
Antonella Nannicini, Donato Pertici
doaj   +1 more source

A relative Poincaré–Birkhoff theorem

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
wiley   +1 more source

Oriented 6-dimensional submanifolds in the octonians, III

International Journal of Mathematics and Mathematical Sciences, 1995
In this paper, we classify 6-dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi-Käthler and ∗-Einstein submanifolds in 𝕆. Also, we prove that a
Hideya Hashimoto
doaj   +1 more source

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
doaj   +1 more source

String topology via the coHochschild complex and local intersections

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley   +1 more source