Results 51 to 60 of about 662,217 (166)

Quasi Yamabe solitons on CR submanifolds of maximal CR dimension in K\"ahler manifolds

International Electronic Journal of Geometry
In this paper we give necessary and sufficient conditions for a CR submanifold of maximal CR dimension in arbitrary K\"{a}hler manifold to admit (quasi-)Yamabe structure, with naturally chosen soliton vector field. When the ambient manifold is a non-flat
Milos B. Djoric, M. Djorić
semanticscholar   +1 more source

Twisted product CR-submanifolds in a locally conformal Kähler space forms

, 2020
Certain twisted product CR-submanifolds in a Kähler manifold and some inequalities of the second fundamental form of these submanifolds are presented ([14]).
V. Bonanzinga, Koji Matsumoto
semanticscholar   +1 more source

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

Journal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui, Akram Ali, Ali H. Alkhaldi   +2 more
doaj   +1 more source

On the three-dimensional CR-submanifolds of the six-dimensional sphere

International Journal of Mathematics and Mathematical Sciences, 1991
We show that the six-dimensional sphere does not admit three-dimensionel totally umbilical proper CR-submanifolds.
M. A. Bashir
doaj   +1 more source

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source

CR-submanifolds of (LCS)n-manifolds with respect to quarter symmetric non-metric connection

Filomat, 2019
The present paper deals with the study of CR-submanifolds of (LCS)n-manifolds with respect to quarter symmetric non-metric connection. We investigate integrability of the distributions and the geometry of foliations.
Tanumoy Pal, Hasan Shahid, K. H. Shyamal
semanticscholar   +1 more source

On CR-Lightlike Product of an Indefinite Kaehler Manifold

International Journal of Mathematics and Mathematical Sciences, 2011
We have studied mixed foliate CR-lightlike submanifolds and CR-lightlike product of an indefinite Kaehler manifold and also obtained relationship between them.
Rakesh Kumar, Jasleen Kaur, R. K. Nagaich   +2 more
doaj   +1 more source

Radiation therapy response prediction for head and neck cancer using multimodal imaging and multiview dynamic graph autoencoder feature selection

Medical Physics, Volume 52, Issue 10, October 2025.
Abstract Background External beam radiation therapy is a common treatment for head and neck (H&N) cancers. Radiomic features derived from biomedical images have shown promise as effective biomarkers used to assess tumor heterogeneity and predict response to treatment.
Amir Moslemi, Laurentius Oscar Osapoetra, Aryan Safakish, Lakshmanan Sannachi, David Alberico, Gregory J Czarnota   +5 more
wiley   +1 more source