Results 71 to 80 of about 852 (168)

Scissors congruence K$K$‐theory for equivariant manifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling, Ming Ng, Julia Semikina, Alba Sendón Blanco, Lucas Williams   +4 more
wiley   +1 more source

On the sectional curvature of lightlike submanifolds

Journal of Inequalities and Applications, 2016
The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
doaj   +1 more source

Positively curved Kaehler submanifolds [PDF]

Proceedings of the American Mathematical Society, 1985
In this note we prove that if the holomorphic curvature of a compact Kaehler submanifold in the complex projective space is bigger than 1 2 \tfrac {1}{2} , then it is totally geodesic.
openaire   +1 more source

CR STATISTICAL SUBMANIFOLDS

Kyushu Journal of Mathematics, 2019
Summary: The non-existence of CR submanifolds of maximal CR dimension with umbilical shape operator in holomorphic statistical manifolds is proven. Our results are a generalization of the known results in the theory of CR submanifolds in complex space forms.
openaire   +2 more sources

New results toward the classification of biharmonic submanifolds in 𝕊n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic ...
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doaj   +1 more source

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker, Ankit Yadav, Ramandeep Kaur   +2 more
doaj   +1 more source

Infinity-Minimal Submanifolds [PDF]

, 2012
We identify the Variational Principle governing inifinity-Harmonic maps, that is solutions to the Infinity-Laplacian. The system was first derived in the limit of the p-Laplacian as p->inifinity in [K2] and is recently studied in [K3]. Here we show that it is the "Euler-Lagrange PDE" of vector-valued Calculus of Variations in L-inifinity for the L ...
openaire   +2 more sources

Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature ...
Dehe Li, Sicheng Li
doaj   +1 more source

Recent Developments in Chen’s Biharmonic Conjecture and Some Related Topics

Mathematics
The study of biharmonic submanifolds in Euclidean spaces was introduced in the middle of the 1980s by the author in his program studying finite-type submanifolds.
Bang-Yen Chen
doaj   +1 more source

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source