商品描述
General Properties of Slant Submanifolds in Contact Metric Manifolds.- Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms.- Some Basic Inequalities on Slant submanifolds in Space forms.- Geometry of Warped Product Semi-Slant Submanifolds in Almost Contact Metric Manifolds.- Slant and Semi Slant Submanifolds of Almost Contact and Paracontact Metric Manifolds.- The Slant Submanifolds in the Setting of Metric f-manifolds.- Slant, Semi-Slant and Pointwise Slant Submanifolds of 3-Structure Manifolds.- Slant Submanifolds of Conformal Sasakian Space Forms.- Slant Curves and Magnetic Curves.- Contact Slant Geometry of Submersions and Pointwise Slant and Semi-Slant Warped Product Submanifolds.
商品描述(中文翻譯)
接觸度量流形中的傾斜子流形的一般性質。- 點狀 Kenmotsu 空間形式中的傾斜子流形的曲率不等式。- 空間形式中傾斜子流形的一些基本不等式。- 幾何學:在幾乎接觸度量流形中的扭曲乘積半傾斜子流形。- 幾乎接觸和副接觸度量流形的傾斜及半傾斜子流形。- 在度量 f-流形的背景下的傾斜子流形。- 3-結構流形的傾斜、半傾斜和點狀傾斜子流形。- 符合 Sasakian 空間形式的傾斜子流形。- 傾斜曲線和磁曲線。- 潛水和點狀傾斜及半傾斜扭曲乘積子流形的接觸傾斜幾何。
作者簡介
Bang-Yen Chen, a Taiwanese-American mathematician, is Distinguished Professor Emeritus at Michigan State University, USA, since 2012. He completed his Ph.D. degree at the University of Notre Dame, USA, in 1970, under the supervision of Prof. Tadashi Nagano. He received his M.Sc. degree from National Tsing Hua University, Hsinchu, Taiwan, in 1967, and B.Sc. degree from Tamkang University, Taipei, Taiwan, in 1965. Earlier at Michigan State University, he served as University Distinguished Professor (1990-2012), Full Professor (1976), Associate Professor (1972), and Research Associate (1970-1972). He taught at Tamkang University, Taiwan, from 1966 to 1968, and at National Tsing Hua University, Taiwan, during the academic year 1967-1968. He is responsible for the invention of δ-invariants (also known as Chen invariants), Chen inequalities, Chen conjectures, development of the theory of submanifolds of finite type, and co-developed (M+, M-)-theory. An author of 12 books and more than 500 research articles, Prof. Chen has been Visiting Professor at various universities, including the University of Notre Dame, USA; Science University of Tokyo, Japan; the University of Lyon, France; Katholieke Universiteit Leuven, Belgium; the University of Rome, Italy; National Tsing Hua University, Taiwan; and Tokyo Denki University, Japan. Mohammad Hasan Shahid is Professor at the Department of Mathematics, Jamia Millia Islamia, New Delhi, India. He earned his Ph.D. in Mathematics from Aligarh Muslim University, India, on the topic "On geometry of submanifolds" in 1988 under (Late) Prof. Izhar Husain. Earlier, he served as Associate Professor at King Abdul Aziz University, Jeddah, Saudi Arabia, from 2001 to 2006. He was a recipient of the postdoctoral fellowship from the University of Patras, Greece, from October 1997 to April 1998. He has published more than 100 research articles in various national and international journals of repute. Recently, he was awarded the Sultana Nahar Distinguished Teacher award of the Year 2017-2018 for his outstanding contribution to research. For research works and delivering talks, Prof. Shahid has visited several universities of the world: the University of Leeds, UK; the University of Montpellier, France; the University of Sevilla, Spain; Hokkaido University, Japan; Chuo University, Japan; and Manisa Celal Bayar University, Turkey.
Falleh Al-solamy is President at King Khalid University, Abha, Saudi Arabia. Earlier, he was Professor of Differential Geometry at King Abdulaziz University, Jeddah, Saudi Arabia. He studied Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia, and earned his Ph.D. in Mathematics from the University of Wales Swansea, Swansea, UK, in 1998, under Prof. Edwin Beggs. His research interests concern the study of the geometry of submanifolds in Riemannian and semi-Riemannian manifolds, Einstein manifolds, and applications of differential geometry in physics. Professor Al-Solamy's research papers have been published in journals and conference proceedings of repute.
作者簡介(中文翻譯)
陳邦彥(Bang-Yen Chen)是一位台灣裔美國數學家,自2012年起擔任美國密西根州立大學的榮譽特聘教授(Distinguished Professor Emeritus)。他於1970年在美國聖母大學(University of Notre Dame)獲得博士學位,指導教授為永野忠(Prof. Tadashi Nagano)。他於1967年在台灣新竹的國立清華大學獲得碩士學位,並於1965年在台北的淡江大學獲得學士學位。早期在密西根州立大學,他曾擔任大學特聘教授(University Distinguished Professor,1990-2012)、正教授(Full Professor,1976)、副教授(Associate Professor,1972)及研究助理(Research Associate,1970-1972)。他於1966年至1968年在台灣淡江大學任教,並在1967-1968學年於國立清華大學任教。他負責發明了δ-不變量(也稱為陳不變量)、陳不等式、陳猜想、有限型子流形理論的發展,並共同發展了(M+, M-)理論。陳教授是12本書籍和超過500篇研究文章的作者,曾擔任多所大學的訪問教授,包括美國聖母大學、日本東京科技大學、法國里昂大學、比利時魯汀大學、義大利羅馬大學、台灣國立清華大學及日本東京電機大學。
穆罕默德·哈桑·沙希德(Mohammad Hasan Shahid)是印度新德里賈米亞米利亞伊斯蘭大學(Jamia Millia Islamia)數學系的教授。他於1988年在印度阿里格爾穆斯林大學(Aligarh Muslim University)獲得數學博士學位,研究主題為「子流形的幾何」。他曾於2001年至2006年擔任沙烏地阿拉伯吉達的阿卜杜勒阿齊茲國王大學(King Abdul Aziz University)副教授。他於1997年10月至1998年4月獲得希臘帕特雷大學的博士後獎學金。他在各大國內外知名期刊上發表了超過100篇研究文章。最近,他因對研究的傑出貢獻而獲得2017-2018年度的Sultana Nahar傑出教師獎。為了進行研究和演講,沙希德教授曾造訪世界多所大學,包括英國利茲大學(University of Leeds)、法國蒙彼利埃大學(University of Montpellier)、西班牙塞維利亞大學(University of Sevilla)、日本北海道大學(Hokkaido University)、日本中央大學(Chuo University)及土耳其馬尼薩賽拉爾巴亞爾大學(Manisa Celal Bayar University)。
法利赫·阿爾索拉米(Falleh Al-solamy)是沙烏地阿拉伯阿布哈的哈立德國王大學(King Khalid University)校長。早前,他曾擔任沙烏地阿拉伯吉達的阿卜杜勒阿齊茲國王大學的微分幾何教授。他在沙烏地阿拉伯吉達的阿卜杜勒阿齊茲國王大學學習數學,並於1998年在英國斯旺西的威爾斯大學斯旺西校區(University of Wales Swansea)獲得數學博士學位,指導教授為艾德溫·貝格斯(Prof. Edwin Beggs)。他的研究興趣包括在黎曼流形和半黎曼流形中的子流形幾何研究、愛因斯坦流形,以及微分幾何在物理學中的應用。阿爾索拉米教授的研究論文已在多個知名期刊和會議論文集中發表。