Results 51 to 60 of about 187 (169)

A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold

Kuwait Journal of Science, 2013
In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.  
KHUSHWANT SINGH, SIRAJ UDDIN, MERAJ ALI KHAN   +2 more
doaj  

Certifying Anosov representations

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley   +1 more source

Exponentially Harmonic Maps into Spheres

Axioms, 2018
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold M into a sphere S m ⊂ R m + 1 .
Sorin Dragomir, Francesco Esposito
doaj   +1 more source

Transverse totally geodesic submanifolds of the tangent bundle

Publicationes Mathematicae Debrecen, 2004
It is well-known that if $ξ$ is a smooth vector field on a given Riemannian manifold $M^n$ then $ξ$ naturally defines a submanifold $ξ(M^n)$ transverse to the fibers of the tangent bundle $TM^n$ with Sasaki metric. In this paper, we are interested in transverse totally geodesic submanifolds of the tangent bundle.
Abassi, M. T. K., Yampolsky, A.
openaire   +3 more sources

Circle packings, renormalizations, and subdivision rules

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley   +1 more source

Study of bi-f-harmonic curve along immersions

Miskolc Mathematical Notes
In this paper, we characterize the bi-f-harmonic curve on surfaces and then we study the submanifold of a Riemannian manifold using the bi-f-harmonic curve.
Buddhadev Pal, Mahendra Kumar, Santosh Kumar   +2 more
doaj   +1 more source

Minimality of totally geodesic submanifolds in Finsler geometry [PDF]

Mathematische Annalen, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations

Advances in Mathematical Physics, 2018
We construct metric connection associated with a first-order differential equation by means of the generator set of a Pfaffian system on a submanifold of an appropriate first-order jet bundle.
Z. Ok Bayrakdar, T. Bayrakdar
doaj   +1 more source

Hopf fibrations and totally geodesic submanifolds

Journal of the European Mathematical Society
We classify totally geodesic submanifolds in Hopf–Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations. As a byproduct of our investigations, we have discovered very intriguing examples of totally geodesic submanifolds: totally geodesic submanifolds isometric to real projective
Carlos Enrique Olmos, Alberto Rodríguez-Vázquez   +1 more
openaire   +2 more sources