Titlebook: Geometry of Submanifolds and Applications; Bang-Yen Chen,Majid Ali Choudhary,Mohammad Nazrul Book 2024 The Editor(s) (if applicable) and

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2363-6149 d graduate students looking to stay updated with the latest developments in the field. With its comprehensive coverage and detailed explanations, this book is an essential resource for anyone interested in submanifold theory..978-981-99-9752-7978-981-99-9750-3Series ISSN 2363-6149 Series E-ISSN 2363-6157

修正案

,Solitons in?,-Gravity,ively. Specifically, we establish criteria in which .-Ricci solitons are shrinking, expanding, or steady and for gradient .-Ricci solitons, either the spacetime represents the equation of state . constant, or the perfect fluid has vanishing vorticity.

證實(shí)

978-981-99-9752-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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Geometry of Submanifolds and Applications978-981-99-9750-3Series ISSN 2363-6149 Series E-ISSN 2363-6157

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小卷發(fā)

Georg Reddewig,Hans-Achim Dubberkeent Yamabe solitons, .-Ricci and gradient .-Ricci solitons are its metrics. We establish criteria for which Ricci solitons are steady, expanding, or shrinking. Moreover, we study gradient Ricci solitons and prove that either the perfect fluid spacetime represents the dark energy era, or the spacetim

Astigmatism

https://doi.org/10.1007/978-3-322-96170-9rvey of results on Lagrangian submanifolds . of the nearly K?hler . in terms of a canonically induced almost contact metric structure, Chen’s equality, normal connection, normal curvature operator, Ricci tensor and conformal flatness. In particular, conditions for . to be Sasakian and totally geodes

纖細(xì)

,Einkaufsverhandlungen (aus-)führen,odels of real space forms. They are defined by an equation based on the shape operator. We give several examples and observe that any Pythagorean submanifold is isoparametric where the principal curvatures are given in terms of the Golden ratio. We also classify Pythagorean hypersurfaces.