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Geometry is the field of Mathematics which enriched the intuition of human visual perception for better understanding of any physical phenomena. In the language of Professor S.S.Chern, if algebra and analysis are the foundations of mathematics then geometry is at the core. This book is an outgrowth of the newly researcher and post graduate students in Mathematics. In giving proofs I have included detailed calculations for an easy access to the new researcher. The coordinate free method of global treatment has been used and has followed by local expressions. I would like to thank as well as offer my deep gratitude to my respected teachers Professor Manjusha Majumdar(Retd.), Department of Pure Mathematics, Calcutta University and Professor Arindam Bhattacharyya, Department of Mathematics, Jadavpur University, for their valuable guidance. My sincere thanks and gratefulness are also accorded to Tapan De and Nirabhra Basu for valuable suggestions. I would like to express my thanks to my wife Susmita Debnath(Kundu) for her constant support and encouragement. Finally my hearty thanks to Lambert Academic Publishing's team for their keen interest.
About the author
Dipankar DebnathThe author has obtained his Ph.D degree on Differential Geometry in Jadavpur University, Kolkata, West Bengal, India and has more than 25 papers published in different National and International Journals.
