Results 41 to 50 of about 10,201 (226)

Conformal submanifolds, distinguished submanifolds, and integrability

, 2023
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally invariant Gauss formula leading to conformal versions of the Gauss, Codazzi, and Ricci equations.
Curry, Sean. N, Gover, A. Rod, Snell, Daniel   +2 more
openaire   +2 more sources

Deformations of Cayley submanifolds [PDF]

, 2016
Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds.
Ohst, Matthias
core   +3 more sources

Submanifolds of Euclidean space with parallel mean curvature vector

International Journal of Mathematics and Mathematical Sciences, 1991
The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle.
Tahsin Ghazal, Sharief Deshmukh
doaj   +1 more source

Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms

Mathematics, 2022
The objective of the present article is to prove two geometric inequalities for submanifolds in S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati curvatures for bi-slant submanifolds in S-space forms and then we ...
Mohd Aquib, Meraj Ali Khan, Adela Mihai, Ion Mihai   +3 more
doaj   +1 more source

Gradient Expanding Ricci Solitons Type Inequalities on Submanifolds in Quaternion Kaehler Manifolds with Bi-Slant Factor

Mathematics
In this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
doaj   +1 more source

Conformai deformation of a close Riemannian submanifold to minimal submanifold

Chinese Science Bulletin, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Senlin, Xia, Qinglan
openaire   +2 more sources

A Frankel type theorem for CR submanifolds of Sasakian manifolds [PDF]

, 2023
We prove a Frankel type theorem for CR submanifolds of Sasakian manifolds, under suitable hypothesis on the index of the scalar Levi forms determined by normal directions.
Dario Di Pinto, Di Pinto, Dario, Antonio Lotta, Lotta, Antonio   +3 more
core   +1 more source

Bi-slant submanifolds of an S manifold [PDF]

Arab Journal of Mathematical Sciences
Purpose – Bi-slant submanifolds of S-manifolds are introduced, and some examples of these submanifolds are presented. Design/methodology/approach – Some properties of Di-geodesic and Di-umbilical bi-slant submanifolds are examined.
Aykut Akgün, Mehmet Gülbahar
doaj   +1 more source

Weakly reflective submanifolds and austere submanifolds

Journal of the Mathematical Society of Japan, 2009
30 ...
IKAWA, Osamu, SAKAI, Takashi, TASAKI, Hiroyuki   +2 more
openaire   +4 more sources

Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley   +1 more source