The phrase "applications in geometry" is correct and usable in written English.
You can use it when discussing how geometric concepts or principles are applied in various fields or contexts.
Example: "The study of shapes and their properties has numerous applications in geometry, particularly in architecture and engineering."
Alternatives: "uses in geometry" or "implementations in geometry".
Tensors have many applications in geometry and physics.
Some applications in geometry of Banach spaces are also obtained.
His previous publications include Finite Mobius Groups, Spherical Minimal Immersions and Moduli (2001), Harmonic Maps and Minimal Immersion Through Representation Theory (1990) and Harmonic and Minimal Maps with Applications in Geometry and Physics (1984).
As an aftereffect of the enormous applications in geometry of Banach spaces, spectral hypothesis, hypothesis of eigenvalue dispersions and fixed point hypothesis and so on, the hypothesis of operator ideal goals possesses an uncommon essentialness in useful examination.
It turns out that, beside the applications in geometry, elliptic equations with exponential nonlinearity also arise in modeling many physical phenomenon, such as thermionic emission, isothermal gas sphere, gas combustion, and gauge theory [6].
These invariants have had numerous applications in symplectic geometry.
In the fourth part, we present two applications in CR geometry.
The proposed approach works equally well on hexahedral or tetrahedral grids and, for this reason, it is suitable for time-domain engineering applications in complex geometry.
It would also be interesting to seek analogs of 1-harmonic applications in calibration geometry.
Blundon's inequality and Ciamberlini's inequality have many applications in Euclidean geometry, particularly in the field of geometric inequalities.
Known nowadays as Ekeland's variational principle (in short, EVP), it has significant applications in the geometry theory of Banach spaces, optimization theory, game theory, optimal control theory, dynamical systems, and so forth; see [1 11] and references therein.
