http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Some recurrent properties of $LP$-Sasakian nanifolds
Venkatesha,Somashekhara. P. 강원경기수학회 2019 한국수학논문집 Vol.27 No.3
The aim of the present paper is to study certain recurrent properties of $LP$-Sasakian manifolds. Here we first describe Ricci $\eta$-recurrent $LP$-Sasakian manifolds. Further we study semi-generalized recurrent and three dimensional locally generalized concircularly $\phi$-recurrent $LP$-Sasakian manifolds and got interesting results.
Some Symmetric Properties on (LCS)<sub>n</sub>-manifolds
Venkatesha, Venkatesha,Naveen Kumar, Rahuthanahalli Thimmegowda Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.1
We analyze the $(LCS)_n$-manifolds endowed with some symmetric properties, focusing on Ricci tensor and the 1-form ${\gamma}$. We study some properties of special Weakly Ricci-Symmetric $(LCS)_n$-manifolds and also shown that Weakly ${\phi}$-Ricci Symmetric $(LCS)_n$-manifold is an ${\eta}$-Einstein manifold.
Second Order Parallel Tensor on Almost Kenmotsu Manifolds
Venkatesha Venkatesha,Devaraja Mallesha Naik,Aysel-Turgut Vanli 경북대학교 자연과학대학 수학과 2021 Kyungpook mathematical journal Vol.61 No.1
Let M be an almost Kenmotsu manifold of dimension 2n + 1 having nonvanishing ξ-sectional curvature such that trℓ > −2n − 2. We prove that any second order parallel tensor on M is a constant multiple of the associated metric tensor and obtained some consequences of this. Vector fields keeping curvature tensor invariant are characterized on M.
Venkatesha M. G. Korean Society of Applied Entomology 2006 Journal of Asia-Pacific Entomology Vol.9 No.3
The outbreak of Henosepilachna vigintioctopunctata (F.) was noticed on a medicinal plant, Withania somnifera Dunal during 2004-05. The population level of the pest was reached its peak in August. The parasitoid Pediobius foveolatus caused $51.94%{\pm}12.20%$ parasitism. The pest completed its life cycle in $20.15{\pm}1.50$ days on W. somnifera. The longevity of the male and female adults of the pest was $22.07{\pm}3.71\;and\;31.07{\pm}4.38$ days, respectively. The gravid females of H. vigintioctopunctata laid an average of $287.64{\pm}33.38$ eggs during their oviposition period of $10.40{\pm}2.80$ days.
Yamabe and Riemann solitons on Lorentzian para-Sasakian manifolds
Shruthi Chidananda,Venkatesha Venkatesha 대한수학회 2022 대한수학회논문집 Vol.37 No.1
In the present paper, we aim to study Yamabe soliton and Riemann soliton on Lorentzian para-Sasakian manifold. First, we proved, if the scalar curvature of an $\eta$-Einstein Lorentzian para-Sasakian manifold $M$ is constant, then either $\tau=n(n-1)$ or, $\tau=n-1$. Also we constructed an example to justify this. Next, it is proved that, if a three dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton for $V$ is an infinitesimal contact transformation and $tr\, \varphi$ is constant, then the soliton is expanding. Also we proved that, suppose a $3$-dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton, if $tr\,\varphi$ is constant and scalar curvature $\tau$ is harmonic (i.e., $\Delta \tau =0$), then the soliton constant $\lambda$ is always greater than zero with either $\tau=2$, or $\tau=6$, or $\lambda=6$. Finally, we proved that, if an $\eta$-Einstein Lorentzian para-Sasakian manifold $M$ represents a Riemann soliton for the potential vector field $V$ has constant divergence then either, $M$ is of constant curvature $1$ or, $V$ is a strict infinitesimal contact transformation.
M. G. Venkatesha 한국응용곤충학회 2006 Journal of Asia-Pacific Entomology Vol.9 No.3
The outbreak of Henosepilachna vigintioctopunctata (F.) was noticed on a medicinal plant, Withania somnifera Dunal during 2004-05.The population level of the pest was reached its peak in August. The parasitoid Pediobius foveolatus caused 51.94%±12.20% parasitism. The pest completed its life cycle in 20.15±1.50 days on W. somnifera. The longevity of the male and female adults of the pest was 22.07±3.71 and 31.07±4.38 days, respectively. The gravid females of H. vigintioctopunctata laid an average of 287.64±33.38 eggs during their oviposition period of 10.40±2.80 days.
T.V. Venkatesha 한국공업화학회 2015 Journal of Industrial and Engineering Chemistry Vol.26 No.-
The nanocrystalline, bright zinc coating was produced using additives, cetyltrimethylammonium bromide (CTAB) and condensation product of valine and veratraldehyde (VV). The synergistic influence of VV + CTAB and simultaneously effect of VV content in bath on surface morphology, texture and grain size of zinc electrodeposits were systematically analyzed. In addition, effect of additives on efficiency, throwing power and deposit properties like microhardness, reflectance and corrosion resistance was investigated. The study reveals that morphological and structural changes observed in presence of additives exhibits synergistic influence on improving corrosion resistance and hardness of the deposit.
GRADIENT EINSTEIN-TYPE CONTACT METRIC MANIFOLDS
Kumara, Huchchappa Aruna,Venkatesha, Venkatesha Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.2
Consider a gradient Einstein-type metric in the setting of K-contact manifolds and (κ, µ)-contact manifolds. First, it is proved that, if a complete K-contact manifold admits a gradient Einstein-type metric, then M is compact, Einstein, Sasakian and isometric to the unit sphere 𝕊<sup>2n+1</sup>. Next, it is proved that, if a non-Sasakian (κ, µ)-contact manifolds admits a gradient Einstein-type metric, then it is flat in dimension 3, and for higher dimension, M is locally isometric to the product of a Euclidean space 𝔼<sup>n+1</sup> and a sphere 𝕊<sup>n</sup>(4) of constant curvature +4.
CERTAIN RESULTS ON CONTACT METRIC GENERALIZED (κ, µ)-SPACE FORMS
Huchchappa, Aruna Kumara,Naik, Devaraja Mallesha,Venkatesha, Venkatesha Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.4
The object of the present paper is to study ${\eta}$-recurrent ${\ast}$-Ricci tensor, ${\ast}$-Ricci semisymmetric and globally ${\varphi}-{\ast}$-Ricci symmetric contact metric generalized (${\kappa}$, ${\mu}$)-space form. Besides these, ${\ast}$-Ricci soliton and gradient ${\ast}$-Ricci soliton in contact metric generalized (${\kappa}$, ${\mu}$)-space form have been studied.