Results 11 to 20 of about 438,929 (192)

CR submanifolds of a Kaehler manifold. II [PDF]

Transactions of the American Mathematical Society, 1978
The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems on parallel normal sections and on a special type of flatness of the normal connection on a CR submanifold are obtained.
Aurel Bejancu
openaire   +4 more sources

On CR-Lightlike Product of an Indefinite Kaehler Manifold [PDF]

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   +2 more sources

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

Med Phys
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.
Moslemi A, Osapoetra LO, Safakish A, Sannachi L, Alberico D, Czarnota GJ.   +5 more
europepmc   +2 more sources

CR-relatives Kähler manifolds [PDF]

, 2022
In this paper we show that two Kähler manifolds which do not share a Kähler submanifold, do not share either a Levi degenerate CR–submanifold with constant dimension Levi kernel. In particular, they do not share a CR–product.
Marini, Stefano, Zedda, Michela
core   +1 more source

On CR singular CR images [PDF]

, 2021
We say that a CR singular submanifold $M$ has a removable CR singularity if the CR structure at the CR points of $M$ extends through the singularity as an abstract CR structure on $M$.
Ravisankar, Sivaguru, Lebl, Jiří, Noell, Alan   +2 more
core   +2 more sources

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

Submersions of {CR} submanifolds [PDF]

Tohoku Mathematical Journal, 1987
A real submanifold N of a complex Banach manifold V is called a CR submanifold if \(T^ h=TN\cap J(TN)\) is a complex subbundle of the tangent bundle TV; J being the relevant complex structure. Assume V Kähler, let \(T^{\vee}N\) be the orthogonal complement of \(T^ hN\) in TN, \(T^ nN\) be the normal bundle. Assume that J interchanges \(T^{\vee}N\) and \
openaire   +3 more sources

A Berger type normal holonomy theorem for complex submanifolds [PDF]

, 2010
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala, Console, S., Olmos, C., Di Scala, Antonio Jose', Sergio Console, Carlos Olmos   +5 more
core   +1 more source

Submanifolds with curvature normals of constant length and the Gauss map [PDF]

, 2004
We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala, C. Olmos, Di Scala, Antonio Jose', Carlos Olmos   +3 more
core   +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