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)
斜交度量流形中斜交子流形的一般性質-點對點Kenmotsu空間形式中斜交子流形的曲率不等式-空間形式中斜交子流形的一些基本不等式-幾乎斜交度量流形中扭曲乘積半斜交子流形的幾何-幾乎斜交度量流形中幾乎斜交和半斜交子流形-度量f-流形設定中的斜交子流形-3-結構流形的斜交、半斜交和點對點斜交子流形-共形Sasakian空間形式的斜交曲線和磁曲線-浸入和點對點斜交和半斜交扭曲乘積子流形的斜交幾何
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）是一位台裔美籍數學家，自2012年起擔任美國密西根州立大學的名譽退休教授。他於1970年在美國聖母大學（University of Notre Dame）完成博士學位，指導教授是Tadashi Nagano教授。他於1967年在台灣清華大學獲得碩士學位，並於1965年在台灣淡江大學獲得學士學位。在密西根州立大學早期，他曾擔任大學傑出教授（1990-2012）、正教授（1976年）、副教授（1972年）和研究助理（1970-1972年）。他在1966年至1968年期間在台灣淡江大學任教，並在1967-1968學年在台灣清華大學任教。他負責發明了δ-不變量（也稱為陳不變量）、陳不等式、陳猜想，發展了有限型子流形理論，並共同開發了（M+，M-）理論。作為12本書和500多篇研究文章的作者，陳教授曾在多所大學擔任訪問教授，包括美國聖母大學、日本東京理科大學、法國里昂大學、比利時魯汶大學、義大利羅馬大學、台灣清華大學和日本東京電機大學。穆罕默德·哈桑·沙希德（Mohammad Hasan Shahid）是印度新德里吉米亞·米利亞·伊斯蘭大學（Jamia Millia Islamia）數學系的教授。他於1988年在印度阿利加爾穆斯林大學（Aligarh Muslim University）以“子流形的幾何”為題獲得數學博士學位，指導教授是（已故）伊茲哈爾·侯賽因（Izhar Husain）。此前，他曾在沙特阿拉伯吉達的阿卜杜勒阿齊茲大學（King Abdul Aziz University）擔任副教授（2001-2006年）。他曾於1997年10月至1998年4月獲得希臘帕特拉斯大學（University of Patras）的博士後研究獎學金。他在多個國內外知名期刊上發表了100多篇研究文章。最近，他因其對研究的傑出貢獻而獲得了2017-2018年蘇丹娜·納哈爾杰出教師獎。沙希德教授曾訪問過世界上多所大學，包括英國利茲大學、法國蒙彼利埃大學、西班牙塞維利亞大學、日本北海道大學、日本中央大學和土耳其馬尼薩·塞拉爾·巴亞爾大學。法萊·阿爾-索拉米（Falleh Al-solamy）是沙特阿拉伯阿巴哈的哈利德大學（King Khalid University）校長。此前，他曾在沙特阿拉伯吉達的阿卜杜勒阿齊茲大學擔任微分幾何學教授。他在沙特阿拉伯吉達的阿卜杜勒阿齊茲大學學習數學，並於1998年在英國斯旺西的威爾斯大學獲得數學博士學位，指導教授是埃德溫·貝格斯（Edwin Beggs）教授。他的研究興趣包括研究黎曼和半黎曼流形中的子流形幾何、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發表在知名期刊和會議論文集中。
