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Civil Engineering and Symmetry

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ISBN: 9783039210022 / 9783039210039 Year: Pages: 198 DOI: 10.3390/books978-3-03921-003-9 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-06-26 08:44:06
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A topic of utmost importance in civil engineering is finding optimal solutions throughout the life cycle of buildings and infrastructural objects, including their design, manufacturing, use, and maintenance. Operational research, management science, and optimization methods provide a consistent and applicable groundwork for engineering decision-making. These topics have received the interest of researchers and, after a rigorous peer-review process, eight papers have been published in this Special Issue. The articles in this Printed Edition demonstrate how solutions in civil engineering, which bring economic, social, and environmental benefits, are obtained through a variety of methodologies and tools. Usually, decision-makers need to take into account not just a single criterion, but several different criteria and, therefore, multi-criteria decision-making (MCDM) approaches have been suggested for application in five of the published papers; the rest of the papers apply other research methods. Most approaches suggested decision models under uncertainty, proposing hybrid MCDM methods in combination with fuzzy or rough set theory, as well as D-numbers. The application areas of the proposed MCDM techniques mainly cover production/manufacturing engineering, logistics and transportation, and construction engineering and management. We hope that a summary of the Special Issue as provided here will encourage a detailed analysis of the papers included in the Printed Edition.

Differential Geometry

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ISBN: 9783039218004 / 9783039218011 Year: Pages: 166 DOI: 10.3390/books978-3-03921-801-1 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-12-09 16:10:12
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The present book contains 14 papers published in the Special Issue “Differential Geometry” of the journal Mathematics. They represent a selection of the 30 submissions. This book covers a variety of both classical and modern topics in differential geometry. We mention properties of both rectifying and affine curves, the geometry of hypersurfaces, angles in Minkowski planes, Euclidean submanifolds, differential operators and harmonic forms on Riemannian manifolds, complex manifolds, contact manifolds (in particular, Sasakian and trans-Sasakian manifolds), curvature invariants, and statistical manifolds and their submanifolds (in particular, Hessian manifolds). We wish to mention that among the authors, there are both well-known geometers and young researchers. The authors are from countries with a tradition in differential geometry: Belgium, China, Greece, Japan, Korea, Poland, Romania, Spain, Turkey, and United States of America. Many of these papers were already cited by other researchers in their articles. This book is useful for specialists in differential geometry, operator theory, physics, and information geometry as well as graduate students in mathematics.

Keywords

Euclidean submanifold --- position vector field --- concurrent vector field --- concircular vector field --- rectifying submanifold --- T-submanifolds --- constant ratio submanifolds --- Ricci soliton --- Kähler–Einstein metrics --- compact complex surfaces --- pinching of the curvatures --- statistical manifolds --- Hessian manifolds --- Hessian sectional curvature --- scalar curvature --- Ricci curvature --- Minkowski plane --- Minkowskian length --- Minkowskian angle --- Minkowskian pseudo-angle --- L2-harmonic forms --- Hodge–Laplacian --- manifold with singularity --- L2-Stokes theorem --- capacity --- k-th generalized Tanaka–Webster connection --- non-flat complex space form --- real hypersurface --- lie derivative --- shape operator --- conical surface --- developable surface --- generalized 1-type Gauss map --- cylindrical hypersurface --- inextensible flow --- lightlike surface --- ruled surface --- Darboux frame --- C-Bochner tensor --- generalized normalized ?-Casorati curvature --- Sasakian manifold --- slant --- invariant --- anti-invariant --- trans-Sasakian 3-manifold --- Reeb flow symmetry --- Ricci operator --- Sasakian statistical manifold --- conjugate connection --- Casorati curvature --- framed rectifying curves --- singular points --- framed helices --- centrodes --- circular rectifying curves --- statistical structure --- affine hypersurface --- affine sphere --- conjugate symmetric statistical structure --- sectional ?-curvature --- complete connection --- symplectic curves --- circular helices --- symplectic curvatures --- Frenet frame

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