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ON PARA KENMOTSU MANIFOLD [PDF]

International Journal of Pure and Apllied Mathematics, 2014
A type of para Kenmotsu (briefly p -Kenmotsu) manifold in which R( ,X).C = 0 has been considered, where C is the conformal curvature tensor of the manifold and R is the curvature transformation. It has been shown that such a manifold is conformally flat and hence is an sp -Kenmotsu manifold.
K.L. Sai Prasad, T. Satyanarayana
openaire   +1 more source

Some submanifolds of generalized Kenmotsu manifolds

Gulf Journal of Mathematics, 2022
In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied and given some properties. An example is constructed for an invariant submanifold of a generalized Kenmotsu manifold. In addition, integrabilities of invariant distribution is investigated, and some theorems are given related to curvature tensor and the second ...
Vanli A.T., Sari R.
openaire   +2 more sources

∗‐Ricci Tensor on α‐Cosymplectic Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In this paper, we study α‐cosymplectic manifold M admitting ∗‐Ricci tensor. First, it is shown that a ∗‐Ricci semisymmetric manifold M is ∗‐Ricci flat and a ϕ‐conformally flat manifold M is an η‐Einstein manifold. Furthermore, the ∗‐Weyl curvature tensor W∗ on M has been considered.
M. R. Amruthalakshmi, D. G. Prakasha, Nasser Bin Turki, Inan Unal, Meraj Ali Khan   +4 more
wiley   +1 more source

ON KENMOTSU MANIFOLDS

Journal of the Korean Mathematical Society, 2005
Let \((M^n,\phi,\xi,\eta,g)\) be an \(n=2m+1\)-dimensional almost contact Riemannian manifold. If \((\nabla_X\phi)Y=-g(X,\phi Y)\xi-\eta(Y)\phi X\) and \(\nabla_X\xi=X-\eta(X)\xi\) then \((M^n,\phi,\xi,\eta,g)\) is called a Kenmotsu manifold. In the reviewed paper, the authors show that curvature conditions such as Ricci semisymmetry or Ricci ...
Jun, Jae-Bok, De, Uday Chand, Pathak, Goutam   +2 more
openaire   +3 more sources

On Compact Trans‐Sasakian Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
We study 3‐dimensional compact and simply connected trans‐Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans‐Sasakian manifold to be homothetic to an Einstein ...
Ibrahim Al-Dayel, Sharief Deshmukh, P. Areias   +2 more
wiley   +1 more source

CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD

Journal of Amasya University the Institute of Sciences and Technology, 2022
In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifold howe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslant submanifolds of a para Kenmotsu manifold are given.
S. Dirik, Ü. Yıldırım
semanticscholar   +1 more source

Tumor mutation burden as a biomarker for lung cancer patients treated with pemetrexed and cisplatin (the JIPANG‐TR)

Cancer Science, Volume 112, Issue 1, Page 388-396, January 2021., 2021
Tumor mutation burden (TMB) is a predictor of immune checkpoint inhibition therapy. When combined with EGFR mutation status, TMB could be a predictive biomarker of postoperative adjuvant chemotherapy with pemetrexed plus cisplatin for patients with non‐squamous non‐small cell lung cancer.
Kazuko Sakai, Masahiro Tsuboi, Hirotsugu Kenmotsu, Takeharu Yamanaka, Toshiaki Takahashi, Koichi Goto, Haruko Daga, Tatsuo Ohira, Tsuyoshi Ueno, Tadashi Aoki, Kazuhiko Nakagawa, Koji Yamazaki, Yukio Hosomi, Koji Kawaguchi, Norihito Okumura, Yuichi Takiguchi, Akimasa Sekine, Tomohiro Haruki, Hiromasa Yamamoto, Yuki Sato, Hiroaki Akamatsu, Takashi Seto, Sho Saeki, Kenji Sugio, Makoto Nishio, Kazunori Okabe, Nobuyuki Yamamoto, Kazuto Nishio   +27 more
wiley   +1 more source

Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold

AIMS Mathematics, 2022
The main purpose of this paper is to study the properties of $ \mathcal{PR} $-semi-invariant submanifold of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant distribution and anti-invariant distribution.
F. Mofarreh, S. Srivastava, Anuj Kumar, Akram Ali   +3 more
semanticscholar   +1 more source

Almost Kenmotsu $f$-manifolds

Carpathian Mathematical Publications, 2015
In this paper, we consider a generalization of almost Kenmotsu f-manifolds. We get basic Riemannian curvature, sectional curvatures and scalar curvature properties such type manifolds. Finally, we give two examples to clarify some our results.
Balkan, Y. S., Aktan, N.
openaire   +3 more sources

Parallel mean curvature surfaces in four-dimensional homogeneous spaces [PDF]

, 2017
We survey different classification results for surfaces with parallel mean curvature immersed into some Riemannian homogeneous four-manifolds, including real and complex space forms, and product spaces.
Manzano, José M., Torralbo, Francisco, Van der Veken, Joeri   +2 more
core   +1 more source