TY  - JOUR
T1  - B.-Y. Chen-Type Inequalities for Three Dimensional Smooth Hypersurfaces
AU  - Suceava, Bogdan
AU  - Tran, Anh Du
PY  - 2024
DA  - April
Y2  - 2023
DO  - 10.36890/iejg.1366352
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 146
EP  - 152
VL  - 17
IS  - 1
LA  - en
AB  - By J.F. Nash’s Theorem, any Riemannian manifold can be embedded into a Euclidean ambientspace with dimension sufficiently large. S.-S. Chern pointed out in 1968 that a key technicalelement in applying Nash’s Theorem effectively is finding useful relationships between intrinsicand extrinsic elements that are characterizing immersions. After 1993, when a groundbreakingwork written by B.-Y.Chen on this theme was published, many explorations pursued thisimportant avenue. Bearing in mind this historical context, in our present project we obtainnew relationships involving intrinsic and extrinsic curvature invariants, under natural geometricconditions.
KW  - Principal curvatures
KW  - smooth surfaces
KW  - smooth hypersurfaces
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UR  - https://doi.org/10.36890/iejg.1366352
L1  - https://dergipark.org.tr/en/download/article-file/3433540
ER  -